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Finding the Fourth Proportional to 9,589.47, 14,364.96 and 7,618.34

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Solution

The fourth proportional to 9,589.47, 14,364.96 and 7,618.34 is: 11,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.47 : 14,364.96 = 7,618.34 : x
  2. Step 2: Convert to fraction form
    9,589.47/14,364.96 = 7,618.34/x
  3. Step 3: Cross multiply
    9,589.47x = 14,364.96 × 7,618.34
  4. Step 4: Simplify right side
    9,589.47x = 109,437,077.54
  5. Step 5: Solve for x
    x = 109,437,077.54/9,589.47
  6. Step 6: Final answer
    x = 11,412.21

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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.