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Finding the Fourth Proportional to 6,597.68, 9,897.03 and 4,863.14

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Solution

The fourth proportional to 6,597.68, 9,897.03 and 4,863.14 is: 7,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.68 : 9,897.03 = 4,863.14 : x
  2. Step 2: Convert to fraction form
    6,597.68/9,897.03 = 4,863.14/x
  3. Step 3: Cross multiply
    6,597.68x = 9,897.03 × 4,863.14
  4. Step 4: Simplify right side
    6,597.68x = 48,130,568.67
  5. Step 5: Solve for x
    x = 48,130,568.67/6,597.68
  6. Step 6: Final answer
    x = 7,295.07

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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.