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Finding the Fourth Proportional to 9,703.68, 13,390.92 and 5,511.66

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Solution

The fourth proportional to 9,703.68, 13,390.92 and 5,511.66 is: 7,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.68 : 13,390.92 = 5,511.66 : x
  2. Step 2: Convert to fraction form
    9,703.68/13,390.92 = 5,511.66/x
  3. Step 3: Cross multiply
    9,703.68x = 13,390.92 × 5,511.66
  4. Step 4: Simplify right side
    9,703.68x = 73,806,198.13
  5. Step 5: Solve for x
    x = 73,806,198.13/9,703.68
  6. Step 6: Final answer
    x = 7,606.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.