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Finding the Fourth Proportional to 9,642.88, 14,465.46 and 3,401.59

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Solution

The fourth proportional to 9,642.88, 14,465.46 and 3,401.59 is: 5,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.88 : 14,465.46 = 3,401.59 : x
  2. Step 2: Convert to fraction form
    9,642.88/14,465.46 = 3,401.59/x
  3. Step 3: Cross multiply
    9,642.88x = 14,465.46 × 3,401.59
  4. Step 4: Simplify right side
    9,642.88x = 49,205,564.08
  5. Step 5: Solve for x
    x = 49,205,564.08/9,642.88
  6. Step 6: Final answer
    x = 5,102.79

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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.