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Finding the Fourth Proportional to 9,332.08, 14,001.84 and 9,184.64

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Solution

The fourth proportional to 9,332.08, 14,001.84 and 9,184.64 is: 13,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.08 : 14,001.84 = 9,184.64 : x
  2. Step 2: Convert to fraction form
    9,332.08/14,001.84 = 9,184.64/x
  3. Step 3: Cross multiply
    9,332.08x = 14,001.84 × 9,184.64
  4. Step 4: Simplify right side
    9,332.08x = 128,601,859.74
  5. Step 5: Solve for x
    x = 128,601,859.74/9,332.08
  6. Step 6: Final answer
    x = 13,780.62

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