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Finding the Fourth Proportional to 9,712.66, 13,402.98 and 5,520.82

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Solution

The fourth proportional to 9,712.66, 13,402.98 and 5,520.82 is: 7,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.66 : 13,402.98 = 5,520.82 : x
  2. Step 2: Convert to fraction form
    9,712.66/13,402.98 = 5,520.82/x
  3. Step 3: Cross multiply
    9,712.66x = 13,402.98 × 5,520.82
  4. Step 4: Simplify right side
    9,712.66x = 73,995,440.04
  5. Step 5: Solve for x
    x = 73,995,440.04/9,712.66
  6. Step 6: Final answer
    x = 7,618.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.