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Finding the Fourth Proportional to 9,014.57, 13,518.20 and 3,746

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Solution

The fourth proportional to 9,014.57, 13,518.20 and 3,746 is: 5,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.57 : 13,518.20 = 3,746 : x
  2. Step 2: Convert to fraction form
    9,014.57/13,518.20 = 3,746/x
  3. Step 3: Cross multiply
    9,014.57x = 13,518.20 × 3,746
  4. Step 4: Simplify right side
    9,014.57x = 50,639,186.57
  5. Step 5: Solve for x
    x = 50,639,186.57/9,014.57
  6. Step 6: Final answer
    x = 5,617.48

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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.