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Finding the Fourth Proportional to 6,564.24, 9,773.14 and 6,472.32

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Solution

The fourth proportional to 6,564.24, 9,773.14 and 6,472.32 is: 9,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.24 : 9,773.14 = 6,472.32 : x
  2. Step 2: Convert to fraction form
    6,564.24/9,773.14 = 6,472.32/x
  3. Step 3: Cross multiply
    6,564.24x = 9,773.14 × 6,472.32
  4. Step 4: Simplify right side
    6,564.24x = 63,254,889.48
  5. Step 5: Solve for x
    x = 63,254,889.48/6,564.24
  6. Step 6: Final answer
    x = 9,636.29

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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.