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Finding the Fourth Proportional to 9,182.32, 12,671.70 and 4,990.57

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Solution

The fourth proportional to 9,182.32, 12,671.70 and 4,990.57 is: 6,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.32 : 12,671.70 = 4,990.57 : x
  2. Step 2: Convert to fraction form
    9,182.32/12,671.70 = 4,990.57/x
  3. Step 3: Cross multiply
    9,182.32x = 12,671.70 × 4,990.57
  4. Step 4: Simplify right side
    9,182.32x = 63,239,005.87
  5. Step 5: Solve for x
    x = 63,239,005.87/9,182.32
  6. Step 6: Final answer
    x = 6,887.04

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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.