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Finding the Fourth Proportional to 9,655.44, 13,315.39 and 6,300.83

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Solution

The fourth proportional to 9,655.44, 13,315.39 and 6,300.83 is: 8,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.44 : 13,315.39 = 6,300.83 : x
  2. Step 2: Convert to fraction form
    9,655.44/13,315.39 = 6,300.83/x
  3. Step 3: Cross multiply
    9,655.44x = 13,315.39 × 6,300.83
  4. Step 4: Simplify right side
    9,655.44x = 83,897,910.69
  5. Step 5: Solve for x
    x = 83,897,910.69/9,655.44
  6. Step 6: Final answer
    x = 8,689.19

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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.