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Finding the Fourth Proportional to 6,999.14, 9,677.12 and 6,689.32

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Solution

The fourth proportional to 6,999.14, 9,677.12 and 6,689.32 is: 9,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.14 : 9,677.12 = 6,689.32 : x
  2. Step 2: Convert to fraction form
    6,999.14/9,677.12 = 6,689.32/x
  3. Step 3: Cross multiply
    6,999.14x = 9,677.12 × 6,689.32
  4. Step 4: Simplify right side
    6,999.14x = 64,733,294.72
  5. Step 5: Solve for x
    x = 64,733,294.72/6,999.14
  6. Step 6: Final answer
    x = 9,248.75

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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.