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Finding the Fourth Proportional to 7,221.12, 9,966.48 and 4,566.72

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Solution

The fourth proportional to 7,221.12, 9,966.48 and 4,566.72 is: 6,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.12 : 9,966.48 = 4,566.72 : x
  2. Step 2: Convert to fraction form
    7,221.12/9,966.48 = 4,566.72/x
  3. Step 3: Cross multiply
    7,221.12x = 9,966.48 × 4,566.72
  4. Step 4: Simplify right side
    7,221.12x = 45,514,123.55
  5. Step 5: Solve for x
    x = 45,514,123.55/7,221.12
  6. Step 6: Final answer
    x = 6,302.92

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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.