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Finding the Fourth Proportional to 9,117.12, 13,665.96 and 6,512.16

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Solution

The fourth proportional to 9,117.12, 13,665.96 and 6,512.16 is: 9,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.12 : 13,665.96 = 6,512.16 : x
  2. Step 2: Convert to fraction form
    9,117.12/13,665.96 = 6,512.16/x
  3. Step 3: Cross multiply
    9,117.12x = 13,665.96 × 6,512.16
  4. Step 4: Simplify right side
    9,117.12x = 88,994,918.07
  5. Step 5: Solve for x
    x = 88,994,918.07/9,117.12
  6. Step 6: Final answer
    x = 9,761.30

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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.