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Finding the Fourth Proportional to 9,381.60, 14,073.12 and 2,807.28

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Solution

The fourth proportional to 9,381.60, 14,073.12 and 2,807.28 is: 4,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.60 : 14,073.12 = 2,807.28 : x
  2. Step 2: Convert to fraction form
    9,381.60/14,073.12 = 2,807.28/x
  3. Step 3: Cross multiply
    9,381.60x = 14,073.12 × 2,807.28
  4. Step 4: Simplify right side
    9,381.60x = 39,507,188.31
  5. Step 5: Solve for x
    x = 39,507,188.31/9,381.60
  6. Step 6: Final answer
    x = 4,211.14

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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.