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Finding the Fourth Proportional to 9,681.05, 13,361.15 and 5,702.13

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Solution

The fourth proportional to 9,681.05, 13,361.15 and 5,702.13 is: 7,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.05 : 13,361.15 = 5,702.13 : x
  2. Step 2: Convert to fraction form
    9,681.05/13,361.15 = 5,702.13/x
  3. Step 3: Cross multiply
    9,681.05x = 13,361.15 × 5,702.13
  4. Step 4: Simplify right side
    9,681.05x = 76,187,028.50
  5. Step 5: Solve for x
    x = 76,187,028.50/9,681.05
  6. Step 6: Final answer
    x = 7,869.71

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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.