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Finding the Fourth Proportional to 9,657.55, 13,323.13 and 6,299.59

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Solution

The fourth proportional to 9,657.55, 13,323.13 and 6,299.59 is: 8,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.55 : 13,323.13 = 6,299.59 : x
  2. Step 2: Convert to fraction form
    9,657.55/13,323.13 = 6,299.59/x
  3. Step 3: Cross multiply
    9,657.55x = 13,323.13 × 6,299.59
  4. Step 4: Simplify right side
    9,657.55x = 83,930,207.46
  5. Step 5: Solve for x
    x = 83,930,207.46/9,657.55
  6. Step 6: Final answer
    x = 8,690.63

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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.