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Finding the Fourth Proportional to 6,514.52, 9,765.98 and 2,353.60

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Solution

The fourth proportional to 6,514.52, 9,765.98 and 2,353.60 is: 3,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.52 : 9,765.98 = 2,353.60 : x
  2. Step 2: Convert to fraction form
    6,514.52/9,765.98 = 2,353.60/x
  3. Step 3: Cross multiply
    6,514.52x = 9,765.98 × 2,353.60
  4. Step 4: Simplify right side
    6,514.52x = 22,985,210.53
  5. Step 5: Solve for x
    x = 22,985,210.53/6,514.52
  6. Step 6: Final answer
    x = 3,528.30

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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.