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Finding the Fourth Proportional to 6,338.57, 9,510.29 and 4,466.26

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Solution

The fourth proportional to 6,338.57, 9,510.29 and 4,466.26 is: 6,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.57 : 9,510.29 = 4,466.26 : x
  2. Step 2: Convert to fraction form
    6,338.57/9,510.29 = 4,466.26/x
  3. Step 3: Cross multiply
    6,338.57x = 9,510.29 × 4,466.26
  4. Step 4: Simplify right side
    6,338.57x = 42,475,427.82
  5. Step 5: Solve for x
    x = 42,475,427.82/6,338.57
  6. Step 6: Final answer
    x = 6,701.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.