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Finding the Fourth Proportional to 9,242.52, 13,862.34 and 3,002.70

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Solution

The fourth proportional to 9,242.52, 13,862.34 and 3,002.70 is: 4,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.52 : 13,862.34 = 3,002.70 : x
  2. Step 2: Convert to fraction form
    9,242.52/13,862.34 = 3,002.70/x
  3. Step 3: Cross multiply
    9,242.52x = 13,862.34 × 3,002.70
  4. Step 4: Simplify right side
    9,242.52x = 41,624,448.32
  5. Step 5: Solve for x
    x = 41,624,448.32/9,242.52
  6. Step 6: Final answer
    x = 4,503.58

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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.