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Finding the Fourth Proportional to 9,589.19, 14,364.64 and 7,618.15

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Solution

The fourth proportional to 9,589.19, 14,364.64 and 7,618.15 is: 11,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.19 : 14,364.64 = 7,618.15 : x
  2. Step 2: Convert to fraction form
    9,589.19/14,364.64 = 7,618.15/x
  3. Step 3: Cross multiply
    9,589.19x = 14,364.64 × 7,618.15
  4. Step 4: Simplify right side
    9,589.19x = 109,432,009.69
  5. Step 5: Solve for x
    x = 109,432,009.69/9,589.19
  6. Step 6: Final answer
    x = 11,412.02

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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.