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Finding the Fourth Proportional to 9,901.49, 14,851.16 and 2,505.95

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Solution

The fourth proportional to 9,901.49, 14,851.16 and 2,505.95 is: 3,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.49 : 14,851.16 = 2,505.95 : x
  2. Step 2: Convert to fraction form
    9,901.49/14,851.16 = 2,505.95/x
  3. Step 3: Cross multiply
    9,901.49x = 14,851.16 × 2,505.95
  4. Step 4: Simplify right side
    9,901.49x = 37,216,251.87
  5. Step 5: Solve for x
    x = 37,216,251.87/9,901.49
  6. Step 6: Final answer
    x = 3,758.65

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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.