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Finding the Fourth Proportional to 6,485.49, 9,729.68 and 1,868.13

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Solution

The fourth proportional to 6,485.49, 9,729.68 and 1,868.13 is: 2,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.49 : 9,729.68 = 1,868.13 : x
  2. Step 2: Convert to fraction form
    6,485.49/9,729.68 = 1,868.13/x
  3. Step 3: Cross multiply
    6,485.49x = 9,729.68 × 1,868.13
  4. Step 4: Simplify right side
    6,485.49x = 18,176,307.10
  5. Step 5: Solve for x
    x = 18,176,307.10/6,485.49
  6. Step 6: Final answer
    x = 2,802.61

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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.