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Finding the Fourth Proportional to 9,124.96, 12,592.56 and 5,586.88

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Solution

The fourth proportional to 9,124.96, 12,592.56 and 5,586.88 is: 7,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.96 : 12,592.56 = 5,586.88 : x
  2. Step 2: Convert to fraction form
    9,124.96/12,592.56 = 5,586.88/x
  3. Step 3: Cross multiply
    9,124.96x = 12,592.56 × 5,586.88
  4. Step 4: Simplify right side
    9,124.96x = 70,353,121.61
  5. Step 5: Solve for x
    x = 70,353,121.61/9,124.96
  6. Step 6: Final answer
    x = 7,709.96

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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.