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Finding the Fourth Proportional to 9,345.75, 12,897.14 and 5,154.27

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Solution

The fourth proportional to 9,345.75, 12,897.14 and 5,154.27 is: 7,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.75 : 12,897.14 = 5,154.27 : x
  2. Step 2: Convert to fraction form
    9,345.75/12,897.14 = 5,154.27/x
  3. Step 3: Cross multiply
    9,345.75x = 12,897.14 × 5,154.27
  4. Step 4: Simplify right side
    9,345.75x = 66,475,316.02
  5. Step 5: Solve for x
    x = 66,475,316.02/9,345.75
  6. Step 6: Final answer
    x = 7,112.89

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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.