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Finding the Fourth Proportional to 9,633.20, 14,452.02 and 3,710.93

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Solution

The fourth proportional to 9,633.20, 14,452.02 and 3,710.93 is: 5,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.20 : 14,452.02 = 3,710.93 : x
  2. Step 2: Convert to fraction form
    9,633.20/14,452.02 = 3,710.93/x
  3. Step 3: Cross multiply
    9,633.20x = 14,452.02 × 3,710.93
  4. Step 4: Simplify right side
    9,633.20x = 53,630,362.32
  5. Step 5: Solve for x
    x = 53,630,362.32/9,633.20
  6. Step 6: Final answer
    x = 5,567.25

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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.