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Finding the Fourth Proportional to 9,703.92, 14,555.56 and 2,684.35

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Solution

The fourth proportional to 9,703.92, 14,555.56 and 2,684.35 is: 4,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.92 : 14,555.56 = 2,684.35 : x
  2. Step 2: Convert to fraction form
    9,703.92/14,555.56 = 2,684.35/x
  3. Step 3: Cross multiply
    9,703.92x = 14,555.56 × 2,684.35
  4. Step 4: Simplify right side
    9,703.92x = 39,072,217.49
  5. Step 5: Solve for x
    x = 39,072,217.49/9,703.92
  6. Step 6: Final answer
    x = 4,026.44

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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.