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Finding the Fourth Proportional to 9,194.04, 13,783.50 and 8,678.88

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Solution

The fourth proportional to 9,194.04, 13,783.50 and 8,678.88 is: 13,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.04 : 13,783.50 = 8,678.88 : x
  2. Step 2: Convert to fraction form
    9,194.04/13,783.50 = 8,678.88/x
  3. Step 3: Cross multiply
    9,194.04x = 13,783.50 × 8,678.88
  4. Step 4: Simplify right side
    9,194.04x = 119,625,342.48
  5. Step 5: Solve for x
    x = 119,625,342.48/9,194.04
  6. Step 6: Final answer
    x = 13,011.18

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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.