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Finding the Fourth Proportional to 9,739,212.42, 14,594,843.70 and 5,470,396.32

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Solution

The fourth proportional to 9,739,212.42, 14,594,843.70 and 5,470,396.32 is: 8,197,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739,212.42 : 14,594,843.70 = 5,470,396.32 : x
  2. Step 2: Convert to fraction form
    9,739,212.42/14,594,843.70 = 5,470,396.32/x
  3. Step 3: Cross multiply
    9,739,212.42x = 14,594,843.70 × 5,470,396.32
  4. Step 4: Simplify right side
    9,739,212.42x = 79,839,579,267,455.19
  5. Step 5: Solve for x
    x = 79,839,579,267,455.19/9,739,212.42
  6. Step 6: Final answer
    x = 8,197,744.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.