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Finding the Fourth Proportional to 9,681.75, 14,523.85 and 3,106.17

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Solution

The fourth proportional to 9,681.75, 14,523.85 and 3,106.17 is: 4,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.75 : 14,523.85 = 3,106.17 : x
  2. Step 2: Convert to fraction form
    9,681.75/14,523.85 = 3,106.17/x
  3. Step 3: Cross multiply
    9,681.75x = 14,523.85 × 3,106.17
  4. Step 4: Simplify right side
    9,681.75x = 45,113,567.93
  5. Step 5: Solve for x
    x = 45,113,567.93/9,681.75
  6. Step 6: Final answer
    x = 4,659.65

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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.