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Finding the Fourth Proportional to 9,138.80, 12,611.60 and 4,947.08

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Solution

The fourth proportional to 9,138.80, 12,611.60 and 4,947.08 is: 6,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.80 : 12,611.60 = 4,947.08 : x
  2. Step 2: Convert to fraction form
    9,138.80/12,611.60 = 4,947.08/x
  3. Step 3: Cross multiply
    9,138.80x = 12,611.60 × 4,947.08
  4. Step 4: Simplify right side
    9,138.80x = 62,390,594.13
  5. Step 5: Solve for x
    x = 62,390,594.13/9,138.80
  6. Step 6: Final answer
    x = 6,827.00

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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.