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Finding the Fourth Proportional to 9,587.78, 13,220.80 and 6,001.44

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Solution

The fourth proportional to 9,587.78, 13,220.80 and 6,001.44 is: 8,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.78 : 13,220.80 = 6,001.44 : x
  2. Step 2: Convert to fraction form
    9,587.78/13,220.80 = 6,001.44/x
  3. Step 3: Cross multiply
    9,587.78x = 13,220.80 × 6,001.44
  4. Step 4: Simplify right side
    9,587.78x = 79,343,822.95
  5. Step 5: Solve for x
    x = 79,343,822.95/9,587.78
  6. Step 6: Final answer
    x = 8,275.51

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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.