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Finding the Fourth Proportional to 9,217, 13,823.44 and 4,473.01

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Solution

The fourth proportional to 9,217, 13,823.44 and 4,473.01 is: 6,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217 : 13,823.44 = 4,473.01 : x
  2. Step 2: Convert to fraction form
    9,217/13,823.44 = 4,473.01/x
  3. Step 3: Cross multiply
    9,217x = 13,823.44 × 4,473.01
  4. Step 4: Simplify right side
    9,217x = 61,832,385.35
  5. Step 5: Solve for x
    x = 61,832,385.35/9,217
  6. Step 6: Final answer
    x = 6,708.52

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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.