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Finding the Fourth Proportional to 9,130.98, 13,680.56 and 8,913

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Solution

The fourth proportional to 9,130.98, 13,680.56 and 8,913 is: 13,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.98 : 13,680.56 = 8,913 : x
  2. Step 2: Convert to fraction form
    9,130.98/13,680.56 = 8,913/x
  3. Step 3: Cross multiply
    9,130.98x = 13,680.56 × 8,913
  4. Step 4: Simplify right side
    9,130.98x = 121,934,831.28
  5. Step 5: Solve for x
    x = 121,934,831.28/9,130.98
  6. Step 6: Final answer
    x = 13,353.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.