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Finding the Fourth Proportional to 9,906.00, 13,671.69 and 6,130.38

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Solution

The fourth proportional to 9,906.00, 13,671.69 and 6,130.38 is: 8,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.00 : 13,671.69 = 6,130.38 : x
  2. Step 2: Convert to fraction form
    9,906.00/13,671.69 = 6,130.38/x
  3. Step 3: Cross multiply
    9,906.00x = 13,671.69 × 6,130.38
  4. Step 4: Simplify right side
    9,906.00x = 83,812,683.22
  5. Step 5: Solve for x
    x = 83,812,683.22/9,906.00
  6. Step 6: Final answer
    x = 8,460.80

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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.