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Finding the Fourth Proportional to 9,385.98, 12,957.34 and 5,406.32

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Solution

The fourth proportional to 9,385.98, 12,957.34 and 5,406.32 is: 7,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.98 : 12,957.34 = 5,406.32 : x
  2. Step 2: Convert to fraction form
    9,385.98/12,957.34 = 5,406.32/x
  3. Step 3: Cross multiply
    9,385.98x = 12,957.34 × 5,406.32
  4. Step 4: Simplify right side
    9,385.98x = 70,051,526.39
  5. Step 5: Solve for x
    x = 70,051,526.39/9,385.98
  6. Step 6: Final answer
    x = 7,463.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.