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Finding the Fourth Proportional to 9,646.88, 14,470.28 and 3,073.59

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Solution

The fourth proportional to 9,646.88, 14,470.28 and 3,073.59 is: 4,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.88 : 14,470.28 = 3,073.59 : x
  2. Step 2: Convert to fraction form
    9,646.88/14,470.28 = 3,073.59/x
  3. Step 3: Cross multiply
    9,646.88x = 14,470.28 × 3,073.59
  4. Step 4: Simplify right side
    9,646.88x = 44,475,704.06
  5. Step 5: Solve for x
    x = 44,475,704.06/9,646.88
  6. Step 6: Final answer
    x = 4,610.37

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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.