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Finding the Fourth Proportional to 9,421.14, 13,001.16 and 5,229.42

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Solution

The fourth proportional to 9,421.14, 13,001.16 and 5,229.42 is: 7,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.14 : 13,001.16 = 5,229.42 : x
  2. Step 2: Convert to fraction form
    9,421.14/13,001.16 = 5,229.42/x
  3. Step 3: Cross multiply
    9,421.14x = 13,001.16 × 5,229.42
  4. Step 4: Simplify right side
    9,421.14x = 67,988,526.13
  5. Step 5: Solve for x
    x = 67,988,526.13/9,421.14
  6. Step 6: Final answer
    x = 7,216.59

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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.