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Finding the Fourth Proportional to 9,886.52, 13,642.08 and 5,693.96

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Solution

The fourth proportional to 9,886.52, 13,642.08 and 5,693.96 is: 7,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.52 : 13,642.08 = 5,693.96 : x
  2. Step 2: Convert to fraction form
    9,886.52/13,642.08 = 5,693.96/x
  3. Step 3: Cross multiply
    9,886.52x = 13,642.08 × 5,693.96
  4. Step 4: Simplify right side
    9,886.52x = 77,677,457.84
  5. Step 5: Solve for x
    x = 77,677,457.84/9,886.52
  6. Step 6: Final answer
    x = 7,856.91

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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.