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Finding the Fourth Proportional to 6,440.29, 9,711.67 and 6,352.47

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Solution

The fourth proportional to 6,440.29, 9,711.67 and 6,352.47 is: 9,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.29 : 9,711.67 = 6,352.47 : x
  2. Step 2: Convert to fraction form
    6,440.29/9,711.67 = 6,352.47/x
  3. Step 3: Cross multiply
    6,440.29x = 9,711.67 × 6,352.47
  4. Step 4: Simplify right side
    6,440.29x = 61,693,075.76
  5. Step 5: Solve for x
    x = 61,693,075.76/6,440.29
  6. Step 6: Final answer
    x = 9,579.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.