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Finding the Fourth Proportional to 8,320.09, 11,472.95 and 6,431.98

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Solution

The fourth proportional to 8,320.09, 11,472.95 and 6,431.98 is: 8,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.09 : 11,472.95 = 6,431.98 : x
  2. Step 2: Convert to fraction form
    8,320.09/11,472.95 = 6,431.98/x
  3. Step 3: Cross multiply
    8,320.09x = 11,472.95 × 6,431.98
  4. Step 4: Simplify right side
    8,320.09x = 73,793,784.94
  5. Step 5: Solve for x
    x = 73,793,784.94/8,320.09
  6. Step 6: Final answer
    x = 8,869.35

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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.