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Finding the Fourth Proportional to 6,564.17, 9,840.34 and 4,456.51

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Solution

The fourth proportional to 6,564.17, 9,840.34 and 4,456.51 is: 6,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.17 : 9,840.34 = 4,456.51 : x
  2. Step 2: Convert to fraction form
    6,564.17/9,840.34 = 4,456.51/x
  3. Step 3: Cross multiply
    6,564.17x = 9,840.34 × 4,456.51
  4. Step 4: Simplify right side
    6,564.17x = 43,853,537.87
  5. Step 5: Solve for x
    x = 43,853,537.87/6,564.17
  6. Step 6: Final answer
    x = 6,680.74

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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.