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Finding the Fourth Proportional to 9,613.60, 13,266.76 and 5,421.85

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Solution

The fourth proportional to 9,613.60, 13,266.76 and 5,421.85 is: 7,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.60 : 13,266.76 = 5,421.85 : x
  2. Step 2: Convert to fraction form
    9,613.60/13,266.76 = 5,421.85/x
  3. Step 3: Cross multiply
    9,613.60x = 13,266.76 × 5,421.85
  4. Step 4: Simplify right side
    9,613.60x = 71,930,335.98
  5. Step 5: Solve for x
    x = 71,930,335.98/9,613.60
  6. Step 6: Final answer
    x = 7,482.15

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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.