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Finding the Fourth Proportional to 8,319.44, 11,469.80 and 6,897.76

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Solution

The fourth proportional to 8,319.44, 11,469.80 and 6,897.76 is: 9,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.44 : 11,469.80 = 6,897.76 : x
  2. Step 2: Convert to fraction form
    8,319.44/11,469.80 = 6,897.76/x
  3. Step 3: Cross multiply
    8,319.44x = 11,469.80 × 6,897.76
  4. Step 4: Simplify right side
    8,319.44x = 79,115,927.65
  5. Step 5: Solve for x
    x = 79,115,927.65/8,319.44
  6. Step 6: Final answer
    x = 9,509.77

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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.