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Finding the Fourth Proportional to 9,886.78, 13,645.02 and 5,695.03

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Solution

The fourth proportional to 9,886.78, 13,645.02 and 5,695.03 is: 7,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.78 : 13,645.02 = 5,695.03 : x
  2. Step 2: Convert to fraction form
    9,886.78/13,645.02 = 5,695.03/x
  3. Step 3: Cross multiply
    9,886.78x = 13,645.02 × 5,695.03
  4. Step 4: Simplify right side
    9,886.78x = 77,708,798.25
  5. Step 5: Solve for x
    x = 77,708,798.25/9,886.78
  6. Step 6: Final answer
    x = 7,859.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.