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Finding the Fourth Proportional to 9,345.76, 12,896.96 and 5,154.01

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Solution

The fourth proportional to 9,345.76, 12,896.96 and 5,154.01 is: 7,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.76 : 12,896.96 = 5,154.01 : x
  2. Step 2: Convert to fraction form
    9,345.76/12,896.96 = 5,154.01/x
  3. Step 3: Cross multiply
    9,345.76x = 12,896.96 × 5,154.01
  4. Step 4: Simplify right side
    9,345.76x = 66,471,002.80
  5. Step 5: Solve for x
    x = 66,471,002.80/9,345.76
  6. Step 6: Final answer
    x = 7,112.43

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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.