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Finding the Fourth Proportional to 9,387.83, 12,955.01 and 5,138.78

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Solution

The fourth proportional to 9,387.83, 12,955.01 and 5,138.78 is: 7,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.83 : 12,955.01 = 5,138.78 : x
  2. Step 2: Convert to fraction form
    9,387.83/12,955.01 = 5,138.78/x
  3. Step 3: Cross multiply
    9,387.83x = 12,955.01 × 5,138.78
  4. Step 4: Simplify right side
    9,387.83x = 66,572,952.98
  5. Step 5: Solve for x
    x = 66,572,952.98/9,387.83
  6. Step 6: Final answer
    x = 7,091.41

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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.