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Finding the Fourth Proportional to 9,827.08, 14,731.02 and 3,902.01

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Solution

The fourth proportional to 9,827.08, 14,731.02 and 3,902.01 is: 5,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.08 : 14,731.02 = 3,902.01 : x
  2. Step 2: Convert to fraction form
    9,827.08/14,731.02 = 3,902.01/x
  3. Step 3: Cross multiply
    9,827.08x = 14,731.02 × 3,902.01
  4. Step 4: Simplify right side
    9,827.08x = 57,480,587.35
  5. Step 5: Solve for x
    x = 57,480,587.35/9,827.08
  6. Step 6: Final answer
    x = 5,849.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.