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Finding the Fourth Proportional to 6,999.70, 9,656 and 4,479.12

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Solution

The fourth proportional to 6,999.70, 9,656 and 4,479.12 is: 6,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.70 : 9,656 = 4,479.12 : x
  2. Step 2: Convert to fraction form
    6,999.70/9,656 = 4,479.12/x
  3. Step 3: Cross multiply
    6,999.70x = 9,656 × 4,479.12
  4. Step 4: Simplify right side
    6,999.70x = 43,250,382.72
  5. Step 5: Solve for x
    x = 43,250,382.72/6,999.70
  6. Step 6: Final answer
    x = 6,178.89

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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.