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Finding the Fourth Proportional to 9,139.32, 12,612.26 and 4,947.57

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Solution

The fourth proportional to 9,139.32, 12,612.26 and 4,947.57 is: 6,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.32 : 12,612.26 = 4,947.57 : x
  2. Step 2: Convert to fraction form
    9,139.32/12,612.26 = 4,947.57/x
  3. Step 3: Cross multiply
    9,139.32x = 12,612.26 × 4,947.57
  4. Step 4: Simplify right side
    9,139.32x = 62,400,014.47
  5. Step 5: Solve for x
    x = 62,400,014.47/9,139.32
  6. Step 6: Final answer
    x = 6,827.64

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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.