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Finding the Fourth Proportional to 7,052.16, 9,734.13 and 4,069.95

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Solution

The fourth proportional to 7,052.16, 9,734.13 and 4,069.95 is: 5,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.16 : 9,734.13 = 4,069.95 : x
  2. Step 2: Convert to fraction form
    7,052.16/9,734.13 = 4,069.95/x
  3. Step 3: Cross multiply
    7,052.16x = 9,734.13 × 4,069.95
  4. Step 4: Simplify right side
    7,052.16x = 39,617,385.89
  5. Step 5: Solve for x
    x = 39,617,385.89/7,052.16
  6. Step 6: Final answer
    x = 5,617.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.