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Finding the Fourth Proportional to 6,315.89, 9,461.70 and 3,534.13

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Solution

The fourth proportional to 6,315.89, 9,461.70 and 3,534.13 is: 5,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.89 : 9,461.70 = 3,534.13 : x
  2. Step 2: Convert to fraction form
    6,315.89/9,461.70 = 3,534.13/x
  3. Step 3: Cross multiply
    6,315.89x = 9,461.70 × 3,534.13
  4. Step 4: Simplify right side
    6,315.89x = 33,438,854.17
  5. Step 5: Solve for x
    x = 33,438,854.17/6,315.89
  6. Step 6: Final answer
    x = 5,294.41

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