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Finding the Fourth Proportional to 9,217.66, 12,710.34 and 6,228.32

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Solution

The fourth proportional to 9,217.66, 12,710.34 and 6,228.32 is: 8,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.66 : 12,710.34 = 6,228.32 : x
  2. Step 2: Convert to fraction form
    9,217.66/12,710.34 = 6,228.32/x
  3. Step 3: Cross multiply
    9,217.66x = 12,710.34 × 6,228.32
  4. Step 4: Simplify right side
    9,217.66x = 79,164,064.83
  5. Step 5: Solve for x
    x = 79,164,064.83/9,217.66
  6. Step 6: Final answer
    x = 8,588.30

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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.