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Finding the Fourth Proportional to 9,215.52, 13,823.28 and 4,017.75

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Solution

The fourth proportional to 9,215.52, 13,823.28 and 4,017.75 is: 6,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.52 : 13,823.28 = 4,017.75 : x
  2. Step 2: Convert to fraction form
    9,215.52/13,823.28 = 4,017.75/x
  3. Step 3: Cross multiply
    9,215.52x = 13,823.28 × 4,017.75
  4. Step 4: Simplify right side
    9,215.52x = 55,538,483.22
  5. Step 5: Solve for x
    x = 55,538,483.22/9,215.52
  6. Step 6: Final answer
    x = 6,026.63

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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.