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Finding the Fourth Proportional to 9,141.32, 12,615.05 and 4,949.57

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Solution

The fourth proportional to 9,141.32, 12,615.05 and 4,949.57 is: 6,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.32 : 12,615.05 = 4,949.57 : x
  2. Step 2: Convert to fraction form
    9,141.32/12,615.05 = 4,949.57/x
  3. Step 3: Cross multiply
    9,141.32x = 12,615.05 × 4,949.57
  4. Step 4: Simplify right side
    9,141.32x = 62,439,116.94
  5. Step 5: Solve for x
    x = 62,439,116.94/9,141.32
  6. Step 6: Final answer
    x = 6,830.42

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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.