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Finding the Fourth Proportional to 9,309.10, 13,957.16 and 4,374

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Solution

The fourth proportional to 9,309.10, 13,957.16 and 4,374 is: 6,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.10 : 13,957.16 = 4,374 : x
  2. Step 2: Convert to fraction form
    9,309.10/13,957.16 = 4,374/x
  3. Step 3: Cross multiply
    9,309.10x = 13,957.16 × 4,374
  4. Step 4: Simplify right side
    9,309.10x = 61,048,620.57
  5. Step 5: Solve for x
    x = 61,048,620.57/9,309.10
  6. Step 6: Final answer
    x = 6,557.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.