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Finding the Fourth Proportional to 9,421.70, 13,001.06 and 5,442.27

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Solution

The fourth proportional to 9,421.70, 13,001.06 and 5,442.27 is: 7,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.70 : 13,001.06 = 5,442.27 : x
  2. Step 2: Convert to fraction form
    9,421.70/13,001.06 = 5,442.27/x
  3. Step 3: Cross multiply
    9,421.70x = 13,001.06 × 5,442.27
  4. Step 4: Simplify right side
    9,421.70x = 70,755,251.59
  5. Step 5: Solve for x
    x = 70,755,251.59/9,421.70
  6. Step 6: Final answer
    x = 7,509.82

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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.