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Finding the Fourth Proportional to 9,420.64, 13,001.16 and 5,228.86

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Solution

The fourth proportional to 9,420.64, 13,001.16 and 5,228.86 is: 7,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.64 : 13,001.16 = 5,228.86 : x
  2. Step 2: Convert to fraction form
    9,420.64/13,001.16 = 5,228.86/x
  3. Step 3: Cross multiply
    9,420.64x = 13,001.16 × 5,228.86
  4. Step 4: Simplify right side
    9,420.64x = 67,981,245.48
  5. Step 5: Solve for x
    x = 67,981,245.48/9,420.64
  6. Step 6: Final answer
    x = 7,216.20

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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.