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Finding the Fourth Proportional to 9,282.87, 12,810.38 and 5,303.97

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Solution

The fourth proportional to 9,282.87, 12,810.38 and 5,303.97 is: 7,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.87 : 12,810.38 = 5,303.97 : x
  2. Step 2: Convert to fraction form
    9,282.87/12,810.38 = 5,303.97/x
  3. Step 3: Cross multiply
    9,282.87x = 12,810.38 × 5,303.97
  4. Step 4: Simplify right side
    9,282.87x = 67,945,871.21
  5. Step 5: Solve for x
    x = 67,945,871.21/9,282.87
  6. Step 6: Final answer
    x = 7,319.49

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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.