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Finding the Fourth Proportional to 9,262.96, 13,894.16 and 2,337.52

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Solution

The fourth proportional to 9,262.96, 13,894.16 and 2,337.52 is: 3,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.96 : 13,894.16 = 2,337.52 : x
  2. Step 2: Convert to fraction form
    9,262.96/13,894.16 = 2,337.52/x
  3. Step 3: Cross multiply
    9,262.96x = 13,894.16 × 2,337.52
  4. Step 4: Simplify right side
    9,262.96x = 32,477,876.88
  5. Step 5: Solve for x
    x = 32,477,876.88/9,262.96
  6. Step 6: Final answer
    x = 3,506.21

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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.