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Finding the Fourth Proportional to 9,775.70, 13,472.36 and 6,943.19

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Solution

The fourth proportional to 9,775.70, 13,472.36 and 6,943.19 is: 9,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.70 : 13,472.36 = 6,943.19 : x
  2. Step 2: Convert to fraction form
    9,775.70/13,472.36 = 6,943.19/x
  3. Step 3: Cross multiply
    9,775.70x = 13,472.36 × 6,943.19
  4. Step 4: Simplify right side
    9,775.70x = 93,541,155.23
  5. Step 5: Solve for x
    x = 93,541,155.23/9,775.70
  6. Step 6: Final answer
    x = 9,568.75

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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.