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Finding the Fourth Proportional to 9,589.08, 14,357.05 and 7,242.01

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Solution

The fourth proportional to 9,589.08, 14,357.05 and 7,242.01 is: 10,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.08 : 14,357.05 = 7,242.01 : x
  2. Step 2: Convert to fraction form
    9,589.08/14,357.05 = 7,242.01/x
  3. Step 3: Cross multiply
    9,589.08x = 14,357.05 × 7,242.01
  4. Step 4: Simplify right side
    9,589.08x = 103,973,845.67
  5. Step 5: Solve for x
    x = 103,973,845.67/9,589.08
  6. Step 6: Final answer
    x = 10,842.94

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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.