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Finding the Fourth Proportional to 9,221.03, 13,818.31 and 5,264.08

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Solution

The fourth proportional to 9,221.03, 13,818.31 and 5,264.08 is: 7,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.03 : 13,818.31 = 5,264.08 : x
  2. Step 2: Convert to fraction form
    9,221.03/13,818.31 = 5,264.08/x
  3. Step 3: Cross multiply
    9,221.03x = 13,818.31 × 5,264.08
  4. Step 4: Simplify right side
    9,221.03x = 72,740,641.60
  5. Step 5: Solve for x
    x = 72,740,641.60/9,221.03
  6. Step 6: Final answer
    x = 7,888.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.