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Finding the Fourth Proportional to 9,667.85, 14,502.06 and 4,113.47

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Solution

The fourth proportional to 9,667.85, 14,502.06 and 4,113.47 is: 6,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.85 : 14,502.06 = 4,113.47 : x
  2. Step 2: Convert to fraction form
    9,667.85/14,502.06 = 4,113.47/x
  3. Step 3: Cross multiply
    9,667.85x = 14,502.06 × 4,113.47
  4. Step 4: Simplify right side
    9,667.85x = 59,653,716.24
  5. Step 5: Solve for x
    x = 59,653,716.24/9,667.85
  6. Step 6: Final answer
    x = 6,170.32

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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.