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Finding the Fourth Proportional to 6,412.17, 9,607.32 and 5,180.16

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Solution

The fourth proportional to 6,412.17, 9,607.32 and 5,180.16 is: 7,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.17 : 9,607.32 = 5,180.16 : x
  2. Step 2: Convert to fraction form
    6,412.17/9,607.32 = 5,180.16/x
  3. Step 3: Cross multiply
    6,412.17x = 9,607.32 × 5,180.16
  4. Step 4: Simplify right side
    6,412.17x = 49,767,454.77
  5. Step 5: Solve for x
    x = 49,767,454.77/6,412.17
  6. Step 6: Final answer
    x = 7,761.41

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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.