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Finding the Fourth Proportional to 9,667.40, 14,501.10 and 9,168.20

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Solution

The fourth proportional to 9,667.40, 14,501.10 and 9,168.20 is: 13,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.40 : 14,501.10 = 9,168.20 : x
  2. Step 2: Convert to fraction form
    9,667.40/14,501.10 = 9,168.20/x
  3. Step 3: Cross multiply
    9,667.40x = 14,501.10 × 9,168.20
  4. Step 4: Simplify right side
    9,667.40x = 132,948,985.02
  5. Step 5: Solve for x
    x = 132,948,985.02/9,667.40
  6. Step 6: Final answer
    x = 13,752.30

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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.