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Finding the Fourth Proportional to 9,765.52, 14,643.68 and 3,524.72

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Solution

The fourth proportional to 9,765.52, 14,643.68 and 3,524.72 is: 5,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.52 : 14,643.68 = 3,524.72 : x
  2. Step 2: Convert to fraction form
    9,765.52/14,643.68 = 3,524.72/x
  3. Step 3: Cross multiply
    9,765.52x = 14,643.68 × 3,524.72
  4. Step 4: Simplify right side
    9,765.52x = 51,614,871.77
  5. Step 5: Solve for x
    x = 51,614,871.77/9,765.52
  6. Step 6: Final answer
    x = 5,285.42

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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.