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Finding the Fourth Proportional to 6,564.32, 9,841.36 and 3,275.76

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Solution

The fourth proportional to 6,564.32, 9,841.36 and 3,275.76 is: 4,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.32 : 9,841.36 = 3,275.76 : x
  2. Step 2: Convert to fraction form
    6,564.32/9,841.36 = 3,275.76/x
  3. Step 3: Cross multiply
    6,564.32x = 9,841.36 × 3,275.76
  4. Step 4: Simplify right side
    6,564.32x = 32,237,933.43
  5. Step 5: Solve for x
    x = 32,237,933.43/6,564.32
  6. Step 6: Final answer
    x = 4,911.08

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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.