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Finding the Fourth Proportional to 9,345.75, 12,897.42 and 5,154.27

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Solution

The fourth proportional to 9,345.75, 12,897.42 and 5,154.27 is: 7,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.75 : 12,897.42 = 5,154.27 : x
  2. Step 2: Convert to fraction form
    9,345.75/12,897.42 = 5,154.27/x
  3. Step 3: Cross multiply
    9,345.75x = 12,897.42 × 5,154.27
  4. Step 4: Simplify right side
    9,345.75x = 66,476,784.98
  5. Step 5: Solve for x
    x = 66,476,784.98/9,345.75
  6. Step 6: Final answer
    x = 7,113.05

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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.