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Finding the Fourth Proportional to 9,347, 12,899.13 and 5,155.52

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Solution

The fourth proportional to 9,347, 12,899.13 and 5,155.52 is: 7,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347 : 12,899.13 = 5,155.52 : x
  2. Step 2: Convert to fraction form
    9,347/12,899.13 = 5,155.52/x
  3. Step 3: Cross multiply
    9,347x = 12,899.13 × 5,155.52
  4. Step 4: Simplify right side
    9,347x = 66,501,722.70
  5. Step 5: Solve for x
    x = 66,501,722.70/9,347
  6. Step 6: Final answer
    x = 7,114.77

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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.