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Finding the Fourth Proportional to 6,564.64, 9,831.84 and 3,267.52

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Solution

The fourth proportional to 6,564.64, 9,831.84 and 3,267.52 is: 4,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.64 : 9,831.84 = 3,267.52 : x
  2. Step 2: Convert to fraction form
    6,564.64/9,831.84 = 3,267.52/x
  3. Step 3: Cross multiply
    6,564.64x = 9,831.84 × 3,267.52
  4. Step 4: Simplify right side
    6,564.64x = 32,125,733.84
  5. Step 5: Solve for x
    x = 32,125,733.84/6,564.64
  6. Step 6: Final answer
    x = 4,893.75

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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.