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Finding the Fourth Proportional to 9,761.84, 13,471.62 and 5,570

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Solution

The fourth proportional to 9,761.84, 13,471.62 and 5,570 is: 7,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.84 : 13,471.62 = 5,570 : x
  2. Step 2: Convert to fraction form
    9,761.84/13,471.62 = 5,570/x
  3. Step 3: Cross multiply
    9,761.84x = 13,471.62 × 5,570
  4. Step 4: Simplify right side
    9,761.84x = 75,036,923.40
  5. Step 5: Solve for x
    x = 75,036,923.40/9,761.84
  6. Step 6: Final answer
    x = 7,686.76

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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.