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Finding the Fourth Proportional to 9,123.75, 12,585.92 and 6,134.45

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Solution

The fourth proportional to 9,123.75, 12,585.92 and 6,134.45 is: 8,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.75 : 12,585.92 = 6,134.45 : x
  2. Step 2: Convert to fraction form
    9,123.75/12,585.92 = 6,134.45/x
  3. Step 3: Cross multiply
    9,123.75x = 12,585.92 × 6,134.45
  4. Step 4: Simplify right side
    9,123.75x = 77,207,603.34
  5. Step 5: Solve for x
    x = 77,207,603.34/9,123.75
  6. Step 6: Final answer
    x = 8,462.27

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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.