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Finding the Fourth Proportional to 9,613.60, 13,264.50 and 5,421.04

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Solution

The fourth proportional to 9,613.60, 13,264.50 and 5,421.04 is: 7,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.60 : 13,264.50 = 5,421.04 : x
  2. Step 2: Convert to fraction form
    9,613.60/13,264.50 = 5,421.04/x
  3. Step 3: Cross multiply
    9,613.60x = 13,264.50 × 5,421.04
  4. Step 4: Simplify right side
    9,613.60x = 71,907,385.08
  5. Step 5: Solve for x
    x = 71,907,385.08/9,613.60
  6. Step 6: Final answer
    x = 7,479.76

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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.