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Finding the Fourth Proportional to 9,661.32, 14,498.43 and 3,421.29

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Solution

The fourth proportional to 9,661.32, 14,498.43 and 3,421.29 is: 5,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.32 : 14,498.43 = 3,421.29 : x
  2. Step 2: Convert to fraction form
    9,661.32/14,498.43 = 3,421.29/x
  3. Step 3: Cross multiply
    9,661.32x = 14,498.43 × 3,421.29
  4. Step 4: Simplify right side
    9,661.32x = 49,603,333.57
  5. Step 5: Solve for x
    x = 49,603,333.57/9,661.32
  6. Step 6: Final answer
    x = 5,134.22

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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.