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Finding the Fourth Proportional to 9,703.80, 13,397.36 and 6,877.16

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Solution

The fourth proportional to 9,703.80, 13,397.36 and 6,877.16 is: 9,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.80 : 13,397.36 = 6,877.16 : x
  2. Step 2: Convert to fraction form
    9,703.80/13,397.36 = 6,877.16/x
  3. Step 3: Cross multiply
    9,703.80x = 13,397.36 × 6,877.16
  4. Step 4: Simplify right side
    9,703.80x = 92,135,788.30
  5. Step 5: Solve for x
    x = 92,135,788.30/9,703.80
  6. Step 6: Final answer
    x = 9,494.82

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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.