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Finding the Fourth Proportional to 9,677.55, 14,435.97 and 9,353.62

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Solution

The fourth proportional to 9,677.55, 14,435.97 and 9,353.62 is: 13,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.55 : 14,435.97 = 9,353.62 : x
  2. Step 2: Convert to fraction form
    9,677.55/14,435.97 = 9,353.62/x
  3. Step 3: Cross multiply
    9,677.55x = 14,435.97 × 9,353.62
  4. Step 4: Simplify right side
    9,677.55x = 135,028,577.71
  5. Step 5: Solve for x
    x = 135,028,577.71/9,677.55
  6. Step 6: Final answer
    x = 13,952.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.