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Finding the Fourth Proportional to 9,677.34, 14,513.49 and 2,657.34

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Solution

The fourth proportional to 9,677.34, 14,513.49 and 2,657.34 is: 3,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.34 : 14,513.49 = 2,657.34 : x
  2. Step 2: Convert to fraction form
    9,677.34/14,513.49 = 2,657.34/x
  3. Step 3: Cross multiply
    9,677.34x = 14,513.49 × 2,657.34
  4. Step 4: Simplify right side
    9,677.34x = 38,567,277.52
  5. Step 5: Solve for x
    x = 38,567,277.52/9,677.34
  6. Step 6: Final answer
    x = 3,985.32

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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.