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Finding the Fourth Proportional to 9,532.82, 14,291.03 and 4,605.90

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Solution

The fourth proportional to 9,532.82, 14,291.03 and 4,605.90 is: 6,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.82 : 14,291.03 = 4,605.90 : x
  2. Step 2: Convert to fraction form
    9,532.82/14,291.03 = 4,605.90/x
  3. Step 3: Cross multiply
    9,532.82x = 14,291.03 × 4,605.90
  4. Step 4: Simplify right side
    9,532.82x = 65,823,013.00
  5. Step 5: Solve for x
    x = 65,823,013.00/9,532.82
  6. Step 6: Final answer
    x = 6,904.88

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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.