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Finding the Fourth Proportional to 9,664.50, 14,498.91 and 3,508.50

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Solution

The fourth proportional to 9,664.50, 14,498.91 and 3,508.50 is: 5,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.50 : 14,498.91 = 3,508.50 : x
  2. Step 2: Convert to fraction form
    9,664.50/14,498.91 = 3,508.50/x
  3. Step 3: Cross multiply
    9,664.50x = 14,498.91 × 3,508.50
  4. Step 4: Simplify right side
    9,664.50x = 50,869,425.74
  5. Step 5: Solve for x
    x = 50,869,425.74/9,664.50
  6. Step 6: Final answer
    x = 5,263.53

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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.