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Finding the Fourth Proportional to 6,165.64, 9,237.70 and 5,132.29

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Solution

The fourth proportional to 6,165.64, 9,237.70 and 5,132.29 is: 7,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.64 : 9,237.70 = 5,132.29 : x
  2. Step 2: Convert to fraction form
    6,165.64/9,237.70 = 5,132.29/x
  3. Step 3: Cross multiply
    6,165.64x = 9,237.70 × 5,132.29
  4. Step 4: Simplify right side
    6,165.64x = 47,410,483.48
  5. Step 5: Solve for x
    x = 47,410,483.48/6,165.64
  6. Step 6: Final answer
    x = 7,689.47

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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.