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Finding the Fourth Proportional to 9,058.92, 12,496 and 5,696.40

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Solution

The fourth proportional to 9,058.92, 12,496 and 5,696.40 is: 7,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.92 : 12,496 = 5,696.40 : x
  2. Step 2: Convert to fraction form
    9,058.92/12,496 = 5,696.40/x
  3. Step 3: Cross multiply
    9,058.92x = 12,496 × 5,696.40
  4. Step 4: Simplify right side
    9,058.92x = 71,182,214.40
  5. Step 5: Solve for x
    x = 71,182,214.40/9,058.92
  6. Step 6: Final answer
    x = 7,857.69

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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.