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Finding the Fourth Proportional to 9,876.16, 13,632.24 and 6,892

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Solution

The fourth proportional to 9,876.16, 13,632.24 and 6,892 is: 9,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.16 : 13,632.24 = 6,892 : x
  2. Step 2: Convert to fraction form
    9,876.16/13,632.24 = 6,892/x
  3. Step 3: Cross multiply
    9,876.16x = 13,632.24 × 6,892
  4. Step 4: Simplify right side
    9,876.16x = 93,953,398.08
  5. Step 5: Solve for x
    x = 93,953,398.08/9,876.16
  6. Step 6: Final answer
    x = 9,513.15

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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.