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Finding the Fourth Proportional to 9,001.60, 13,501.76 and 2,428.16

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Solution

The fourth proportional to 9,001.60, 13,501.76 and 2,428.16 is: 3,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.60 : 13,501.76 = 2,428.16 : x
  2. Step 2: Convert to fraction form
    9,001.60/13,501.76 = 2,428.16/x
  3. Step 3: Cross multiply
    9,001.60x = 13,501.76 × 2,428.16
  4. Step 4: Simplify right side
    9,001.60x = 32,784,433.56
  5. Step 5: Solve for x
    x = 32,784,433.56/9,001.60
  6. Step 6: Final answer
    x = 3,642.07

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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.