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Finding the Fourth Proportional to 9,753.66, 13,464.30 and 6,221.52

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Solution

The fourth proportional to 9,753.66, 13,464.30 and 6,221.52 is: 8,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.66 : 13,464.30 = 6,221.52 : x
  2. Step 2: Convert to fraction form
    9,753.66/13,464.30 = 6,221.52/x
  3. Step 3: Cross multiply
    9,753.66x = 13,464.30 × 6,221.52
  4. Step 4: Simplify right side
    9,753.66x = 83,768,411.74
  5. Step 5: Solve for x
    x = 83,768,411.74/9,753.66
  6. Step 6: Final answer
    x = 8,588.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.