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Finding the Fourth Proportional to 6,440.52, 9,665.66 and 4,248.52

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Solution

The fourth proportional to 6,440.52, 9,665.66 and 4,248.52 is: 6,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.52 : 9,665.66 = 4,248.52 : x
  2. Step 2: Convert to fraction form
    6,440.52/9,665.66 = 4,248.52/x
  3. Step 3: Cross multiply
    6,440.52x = 9,665.66 × 4,248.52
  4. Step 4: Simplify right side
    6,440.52x = 41,064,749.82
  5. Step 5: Solve for x
    x = 41,064,749.82/6,440.52
  6. Step 6: Final answer
    x = 6,376.00

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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.