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Finding the Fourth Proportional to 9,112.50, 13,586.89 and 8,946.42

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Solution

The fourth proportional to 9,112.50, 13,586.89 and 8,946.42 is: 13,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.50 : 13,586.89 = 8,946.42 : x
  2. Step 2: Convert to fraction form
    9,112.50/13,586.89 = 8,946.42/x
  3. Step 3: Cross multiply
    9,112.50x = 13,586.89 × 8,946.42
  4. Step 4: Simplify right side
    9,112.50x = 121,554,082.53
  5. Step 5: Solve for x
    x = 121,554,082.53/9,112.50
  6. Step 6: Final answer
    x = 13,339.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.