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Finding the Fourth Proportional to 9,559.48, 14,332.23 and 6,431.71

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Solution

The fourth proportional to 9,559.48, 14,332.23 and 6,431.71 is: 9,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.48 : 14,332.23 = 6,431.71 : x
  2. Step 2: Convert to fraction form
    9,559.48/14,332.23 = 6,431.71/x
  3. Step 3: Cross multiply
    9,559.48x = 14,332.23 × 6,431.71
  4. Step 4: Simplify right side
    9,559.48x = 92,180,776.99
  5. Step 5: Solve for x
    x = 92,180,776.99/9,559.48
  6. Step 6: Final answer
    x = 9,642.86

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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.