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Finding the Fourth Proportional to 9,475.48, 14,218.02 and 6,391

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Solution

The fourth proportional to 9,475.48, 14,218.02 and 6,391 is: 9,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.48 : 14,218.02 = 6,391 : x
  2. Step 2: Convert to fraction form
    9,475.48/14,218.02 = 6,391/x
  3. Step 3: Cross multiply
    9,475.48x = 14,218.02 × 6,391
  4. Step 4: Simplify right side
    9,475.48x = 90,867,365.82
  5. Step 5: Solve for x
    x = 90,867,365.82/9,475.48
  6. Step 6: Final answer
    x = 9,589.74

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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.