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Finding the Fourth Proportional to 9,901.80, 13,665.72 and 5,710.08

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Solution

The fourth proportional to 9,901.80, 13,665.72 and 5,710.08 is: 7,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.80 : 13,665.72 = 5,710.08 : x
  2. Step 2: Convert to fraction form
    9,901.80/13,665.72 = 5,710.08/x
  3. Step 3: Cross multiply
    9,901.80x = 13,665.72 × 5,710.08
  4. Step 4: Simplify right side
    9,901.80x = 78,032,354.46
  5. Step 5: Solve for x
    x = 78,032,354.46/9,901.80
  6. Step 6: Final answer
    x = 7,880.62

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