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Finding the Fourth Proportional to 9,114.12, 12,545.82 and 7,859.30

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Solution

The fourth proportional to 9,114.12, 12,545.82 and 7,859.30 is: 10,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.12 : 12,545.82 = 7,859.30 : x
  2. Step 2: Convert to fraction form
    9,114.12/12,545.82 = 7,859.30/x
  3. Step 3: Cross multiply
    9,114.12x = 12,545.82 × 7,859.30
  4. Step 4: Simplify right side
    9,114.12x = 98,601,300.40
  5. Step 5: Solve for x
    x = 98,601,300.40/9,114.12
  6. Step 6: Final answer
    x = 10,818.52

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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.