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Finding the Fourth Proportional to 9,868.42, 13,627.51 and 6,337.78

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Solution

The fourth proportional to 9,868.42, 13,627.51 and 6,337.78 is: 8,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.42 : 13,627.51 = 6,337.78 : x
  2. Step 2: Convert to fraction form
    9,868.42/13,627.51 = 6,337.78/x
  3. Step 3: Cross multiply
    9,868.42x = 13,627.51 × 6,337.78
  4. Step 4: Simplify right side
    9,868.42x = 86,368,185.28
  5. Step 5: Solve for x
    x = 86,368,185.28/9,868.42
  6. Step 6: Final answer
    x = 8,751.98

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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.