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Finding the Fourth Proportional to 9,123.94, 12,590.92 and 5,146.34

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Solution

The fourth proportional to 9,123.94, 12,590.92 and 5,146.34 is: 7,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.94 : 12,590.92 = 5,146.34 : x
  2. Step 2: Convert to fraction form
    9,123.94/12,590.92 = 5,146.34/x
  3. Step 3: Cross multiply
    9,123.94x = 12,590.92 × 5,146.34
  4. Step 4: Simplify right side
    9,123.94x = 64,797,098.71
  5. Step 5: Solve for x
    x = 64,797,098.71/9,123.94
  6. Step 6: Final answer
    x = 7,101.88

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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.