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Finding the Fourth Proportional to 9,017.60, 13,524.86 and 2,442.25

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Solution

The fourth proportional to 9,017.60, 13,524.86 and 2,442.25 is: 3,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.60 : 13,524.86 = 2,442.25 : x
  2. Step 2: Convert to fraction form
    9,017.60/13,524.86 = 2,442.25/x
  3. Step 3: Cross multiply
    9,017.60x = 13,524.86 × 2,442.25
  4. Step 4: Simplify right side
    9,017.60x = 33,031,089.34
  5. Step 5: Solve for x
    x = 33,031,089.34/9,017.60
  6. Step 6: Final answer
    x = 3,662.96

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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.