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Finding the Fourth Proportional to 9,589.80, 14,365.55 and 7,618.76

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Solution

The fourth proportional to 9,589.80, 14,365.55 and 7,618.76 is: 11,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.80 : 14,365.55 = 7,618.76 : x
  2. Step 2: Convert to fraction form
    9,589.80/14,365.55 = 7,618.76/x
  3. Step 3: Cross multiply
    9,589.80x = 14,365.55 × 7,618.76
  4. Step 4: Simplify right side
    9,589.80x = 109,447,567.80
  5. Step 5: Solve for x
    x = 109,447,567.80/9,589.80
  6. Step 6: Final answer
    x = 11,412.91

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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.