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Finding the Fourth Proportional to 9,589.30, 14,364.79 and 7,618.26

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Solution

The fourth proportional to 9,589.30, 14,364.79 and 7,618.26 is: 11,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.30 : 14,364.79 = 7,618.26 : x
  2. Step 2: Convert to fraction form
    9,589.30/14,364.79 = 7,618.26/x
  3. Step 3: Cross multiply
    9,589.30x = 14,364.79 × 7,618.26
  4. Step 4: Simplify right side
    9,589.30x = 109,434,705.07
  5. Step 5: Solve for x
    x = 109,434,705.07/9,589.30
  6. Step 6: Final answer
    x = 11,412.17

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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.