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Finding the Fourth Proportional to 9,123.46, 13,680.62 and 4,188.89

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Solution

The fourth proportional to 9,123.46, 13,680.62 and 4,188.89 is: 6,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.46 : 13,680.62 = 4,188.89 : x
  2. Step 2: Convert to fraction form
    9,123.46/13,680.62 = 4,188.89/x
  3. Step 3: Cross multiply
    9,123.46x = 13,680.62 × 4,188.89
  4. Step 4: Simplify right side
    9,123.46x = 57,306,612.31
  5. Step 5: Solve for x
    x = 57,306,612.31/9,123.46
  6. Step 6: Final answer
    x = 6,281.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.