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Finding the Fourth Proportional to 6,522.93, 9,001.40 and 3,538.66

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Solution

The fourth proportional to 6,522.93, 9,001.40 and 3,538.66 is: 4,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.93 : 9,001.40 = 3,538.66 : x
  2. Step 2: Convert to fraction form
    6,522.93/9,001.40 = 3,538.66/x
  3. Step 3: Cross multiply
    6,522.93x = 9,001.40 × 3,538.66
  4. Step 4: Simplify right side
    6,522.93x = 31,852,876.43
  5. Step 5: Solve for x
    x = 31,852,876.43/6,522.93
  6. Step 6: Final answer
    x = 4,883.22

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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.