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Finding the Fourth Proportional to 6,531.00, 9,013.12 and 3,842.35

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Solution

The fourth proportional to 6,531.00, 9,013.12 and 3,842.35 is: 5,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.00 : 9,013.12 = 3,842.35 : x
  2. Step 2: Convert to fraction form
    6,531.00/9,013.12 = 3,842.35/x
  3. Step 3: Cross multiply
    6,531.00x = 9,013.12 × 3,842.35
  4. Step 4: Simplify right side
    6,531.00x = 34,631,564.95
  5. Step 5: Solve for x
    x = 34,631,564.95/6,531.00
  6. Step 6: Final answer
    x = 5,302.65

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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.