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Finding the Fourth Proportional to 9,123.84, 12,590.86 and 4,932.09

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Solution

The fourth proportional to 9,123.84, 12,590.86 and 4,932.09 is: 6,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.84 : 12,590.86 = 4,932.09 : x
  2. Step 2: Convert to fraction form
    9,123.84/12,590.86 = 4,932.09/x
  3. Step 3: Cross multiply
    9,123.84x = 12,590.86 × 4,932.09
  4. Step 4: Simplify right side
    9,123.84x = 62,099,254.70
  5. Step 5: Solve for x
    x = 62,099,254.70/9,123.84
  6. Step 6: Final answer
    x = 6,806.26

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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.