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Finding the Fourth Proportional to 9,778.57, 14,667.82 and 8,458.40

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Solution

The fourth proportional to 9,778.57, 14,667.82 and 8,458.40 is: 12,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.57 : 14,667.82 = 8,458.40 : x
  2. Step 2: Convert to fraction form
    9,778.57/14,667.82 = 8,458.40/x
  3. Step 3: Cross multiply
    9,778.57x = 14,667.82 × 8,458.40
  4. Step 4: Simplify right side
    9,778.57x = 124,066,225.92
  5. Step 5: Solve for x
    x = 124,066,225.92/9,778.57
  6. Step 6: Final answer
    x = 12,687.57

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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.