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Finding the Fourth Proportional to 9,152.63, 13,720.10 and 3,604.13

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Solution

The fourth proportional to 9,152.63, 13,720.10 and 3,604.13 is: 5,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.63 : 13,720.10 = 3,604.13 : x
  2. Step 2: Convert to fraction form
    9,152.63/13,720.10 = 3,604.13/x
  3. Step 3: Cross multiply
    9,152.63x = 13,720.10 × 3,604.13
  4. Step 4: Simplify right side
    9,152.63x = 49,448,937.39
  5. Step 5: Solve for x
    x = 49,448,937.39/9,152.63
  6. Step 6: Final answer
    x = 5,402.71

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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.