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Finding the Fourth Proportional to 9,913.98, 14,859.42 and 7,292.64

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Solution

The fourth proportional to 9,913.98, 14,859.42 and 7,292.64 is: 10,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.98 : 14,859.42 = 7,292.64 : x
  2. Step 2: Convert to fraction form
    9,913.98/14,859.42 = 7,292.64/x
  3. Step 3: Cross multiply
    9,913.98x = 14,859.42 × 7,292.64
  4. Step 4: Simplify right side
    9,913.98x = 108,364,400.67
  5. Step 5: Solve for x
    x = 108,364,400.67/9,913.98
  6. Step 6: Final answer
    x = 10,930.46

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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.