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Finding the Fourth Proportional to 9,002.40, 13,507.65 and 3,163.20

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Solution

The fourth proportional to 9,002.40, 13,507.65 and 3,163.20 is: 4,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.40 : 13,507.65 = 3,163.20 : x
  2. Step 2: Convert to fraction form
    9,002.40/13,507.65 = 3,163.20/x
  3. Step 3: Cross multiply
    9,002.40x = 13,507.65 × 3,163.20
  4. Step 4: Simplify right side
    9,002.40x = 42,727,398.48
  5. Step 5: Solve for x
    x = 42,727,398.48/9,002.40
  6. Step 6: Final answer
    x = 4,746.22

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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.