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Finding the Fourth Proportional to 9,669.61, 14,480.65 and 4,723.30

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Solution

The fourth proportional to 9,669.61, 14,480.65 and 4,723.30 is: 7,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.61 : 14,480.65 = 4,723.30 : x
  2. Step 2: Convert to fraction form
    9,669.61/14,480.65 = 4,723.30/x
  3. Step 3: Cross multiply
    9,669.61x = 14,480.65 × 4,723.30
  4. Step 4: Simplify right side
    9,669.61x = 68,396,454.15
  5. Step 5: Solve for x
    x = 68,396,454.15/9,669.61
  6. Step 6: Final answer
    x = 7,073.34

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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.