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Finding the Fourth Proportional to 9,117.67, 12,583.08 and 5,139.16

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Solution

The fourth proportional to 9,117.67, 12,583.08 and 5,139.16 is: 7,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.67 : 12,583.08 = 5,139.16 : x
  2. Step 2: Convert to fraction form
    9,117.67/12,583.08 = 5,139.16/x
  3. Step 3: Cross multiply
    9,117.67x = 12,583.08 × 5,139.16
  4. Step 4: Simplify right side
    9,117.67x = 64,666,461.41
  5. Step 5: Solve for x
    x = 64,666,461.41/9,117.67
  6. Step 6: Final answer
    x = 7,092.43

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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.