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Finding the Fourth Proportional to 9,138.84, 12,611.62 and 4,947.10

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Solution

The fourth proportional to 9,138.84, 12,611.62 and 4,947.10 is: 6,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.84 : 12,611.62 = 4,947.10 : x
  2. Step 2: Convert to fraction form
    9,138.84/12,611.62 = 4,947.10/x
  3. Step 3: Cross multiply
    9,138.84x = 12,611.62 × 4,947.10
  4. Step 4: Simplify right side
    9,138.84x = 62,390,945.30
  5. Step 5: Solve for x
    x = 62,390,945.30/9,138.84
  6. Step 6: Final answer
    x = 6,827.01

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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.