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Finding the Fourth Proportional to 6,422.19, 9,569.79 and 5,768.10

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Solution

The fourth proportional to 6,422.19, 9,569.79 and 5,768.10 is: 8,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.19 : 9,569.79 = 5,768.10 : x
  2. Step 2: Convert to fraction form
    6,422.19/9,569.79 = 5,768.10/x
  3. Step 3: Cross multiply
    6,422.19x = 9,569.79 × 5,768.10
  4. Step 4: Simplify right side
    6,422.19x = 55,199,505.70
  5. Step 5: Solve for x
    x = 55,199,505.70/6,422.19
  6. Step 6: Final answer
    x = 8,595.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.