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Finding the Fourth Proportional to 9,829.13, 13,555.31 and 6,470.70

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Solution

The fourth proportional to 9,829.13, 13,555.31 and 6,470.70 is: 8,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.13 : 13,555.31 = 6,470.70 : x
  2. Step 2: Convert to fraction form
    9,829.13/13,555.31 = 6,470.70/x
  3. Step 3: Cross multiply
    9,829.13x = 13,555.31 × 6,470.70
  4. Step 4: Simplify right side
    9,829.13x = 87,712,344.42
  5. Step 5: Solve for x
    x = 87,712,344.42/9,829.13
  6. Step 6: Final answer
    x = 8,923.71

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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.