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Finding the Fourth Proportional to 9,589.06, 14,389.18 and 4,042.06

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Solution

The fourth proportional to 9,589.06, 14,389.18 and 4,042.06 is: 6,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.06 : 14,389.18 = 4,042.06 : x
  2. Step 2: Convert to fraction form
    9,589.06/14,389.18 = 4,042.06/x
  3. Step 3: Cross multiply
    9,589.06x = 14,389.18 × 4,042.06
  4. Step 4: Simplify right side
    9,589.06x = 58,161,928.91
  5. Step 5: Solve for x
    x = 58,161,928.91/9,589.06
  6. Step 6: Final answer
    x = 6,065.45

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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.