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Finding the Fourth Proportional to 9,708.01, 14,558.90 and 3,132.65

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Solution

The fourth proportional to 9,708.01, 14,558.90 and 3,132.65 is: 4,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.01 : 14,558.90 = 3,132.65 : x
  2. Step 2: Convert to fraction form
    9,708.01/14,558.90 = 3,132.65/x
  3. Step 3: Cross multiply
    9,708.01x = 14,558.90 × 3,132.65
  4. Step 4: Simplify right side
    9,708.01x = 45,607,958.82
  5. Step 5: Solve for x
    x = 45,607,958.82/9,708.01
  6. Step 6: Final answer
    x = 4,697.97

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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.