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Finding the Fourth Proportional to 8,909.24, 12,292.74 and 6,784.28

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Solution

The fourth proportional to 8,909.24, 12,292.74 and 6,784.28 is: 9,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.24 : 12,292.74 = 6,784.28 : x
  2. Step 2: Convert to fraction form
    8,909.24/12,292.74 = 6,784.28/x
  3. Step 3: Cross multiply
    8,909.24x = 12,292.74 × 6,784.28
  4. Step 4: Simplify right side
    8,909.24x = 83,397,390.13
  5. Step 5: Solve for x
    x = 83,397,390.13/8,909.24
  6. Step 6: Final answer
    x = 9,360.77

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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.