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Finding the Fourth Proportional to 9,264.69, 12,782.19 and 5,283

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Solution

The fourth proportional to 9,264.69, 12,782.19 and 5,283 is: 7,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.69 : 12,782.19 = 5,283 : x
  2. Step 2: Convert to fraction form
    9,264.69/12,782.19 = 5,283/x
  3. Step 3: Cross multiply
    9,264.69x = 12,782.19 × 5,283
  4. Step 4: Simplify right side
    9,264.69x = 67,528,309.77
  5. Step 5: Solve for x
    x = 67,528,309.77/9,264.69
  6. Step 6: Final answer
    x = 7,288.78

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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.