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Finding the Fourth Proportional to 9,103.48, 13,618.02 and 6,470.80

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Solution

The fourth proportional to 9,103.48, 13,618.02 and 6,470.80 is: 9,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.48 : 13,618.02 = 6,470.80 : x
  2. Step 2: Convert to fraction form
    9,103.48/13,618.02 = 6,470.80/x
  3. Step 3: Cross multiply
    9,103.48x = 13,618.02 × 6,470.80
  4. Step 4: Simplify right side
    9,103.48x = 88,119,483.82
  5. Step 5: Solve for x
    x = 88,119,483.82/9,103.48
  6. Step 6: Final answer
    x = 9,679.76

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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.