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Finding the Fourth Proportional to 9,767.01, 13,480.70 and 6,358.04

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Solution

The fourth proportional to 9,767.01, 13,480.70 and 6,358.04 is: 8,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.01 : 13,480.70 = 6,358.04 : x
  2. Step 2: Convert to fraction form
    9,767.01/13,480.70 = 6,358.04/x
  3. Step 3: Cross multiply
    9,767.01x = 13,480.70 × 6,358.04
  4. Step 4: Simplify right side
    9,767.01x = 85,710,829.83
  5. Step 5: Solve for x
    x = 85,710,829.83/9,767.01
  6. Step 6: Final answer
    x = 8,775.54

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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.