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Finding the Fourth Proportional to 7,006.96, 9,658.44 and 6,868.72

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Solution

The fourth proportional to 7,006.96, 9,658.44 and 6,868.72 is: 9,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.96 : 9,658.44 = 6,868.72 : x
  2. Step 2: Convert to fraction form
    7,006.96/9,658.44 = 6,868.72/x
  3. Step 3: Cross multiply
    7,006.96x = 9,658.44 × 6,868.72
  4. Step 4: Simplify right side
    7,006.96x = 66,341,120.00
  5. Step 5: Solve for x
    x = 66,341,120.00/7,006.96
  6. Step 6: Final answer
    x = 9,467.89

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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.