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Finding the Fourth Proportional to 9,760.10, 13,470.76 and 5,568.35

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Solution

The fourth proportional to 9,760.10, 13,470.76 and 5,568.35 is: 7,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.10 : 13,470.76 = 5,568.35 : x
  2. Step 2: Convert to fraction form
    9,760.10/13,470.76 = 5,568.35/x
  3. Step 3: Cross multiply
    9,760.10x = 13,470.76 × 5,568.35
  4. Step 4: Simplify right side
    9,760.10x = 75,009,906.45
  5. Step 5: Solve for x
    x = 75,009,906.45/9,760.10
  6. Step 6: Final answer
    x = 7,685.36

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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.