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Finding the Fourth Proportional to 9,117.70, 12,582.86 and 5,138.98

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Solution

The fourth proportional to 9,117.70, 12,582.86 and 5,138.98 is: 7,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.70 : 12,582.86 = 5,138.98 : x
  2. Step 2: Convert to fraction form
    9,117.70/12,582.86 = 5,138.98/x
  3. Step 3: Cross multiply
    9,117.70x = 12,582.86 × 5,138.98
  4. Step 4: Simplify right side
    9,117.70x = 64,663,008.73
  5. Step 5: Solve for x
    x = 64,663,008.73/9,117.70
  6. Step 6: Final answer
    x = 7,092.03

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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.