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Finding the Fourth Proportional to 9,877.01, 13,630.14 and 5,903.42

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Solution

The fourth proportional to 9,877.01, 13,630.14 and 5,903.42 is: 8,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.01 : 13,630.14 = 5,903.42 : x
  2. Step 2: Convert to fraction form
    9,877.01/13,630.14 = 5,903.42/x
  3. Step 3: Cross multiply
    9,877.01x = 13,630.14 × 5,903.42
  4. Step 4: Simplify right side
    9,877.01x = 80,464,372.93
  5. Step 5: Solve for x
    x = 80,464,372.93/9,877.01
  6. Step 6: Final answer
    x = 8,146.64

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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.