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Finding the Fourth Proportional to 6,549.98, 9,823.46 and 1,869.89

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Solution

The fourth proportional to 6,549.98, 9,823.46 and 1,869.89 is: 2,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.98 : 9,823.46 = 1,869.89 : x
  2. Step 2: Convert to fraction form
    6,549.98/9,823.46 = 1,869.89/x
  3. Step 3: Cross multiply
    6,549.98x = 9,823.46 × 1,869.89
  4. Step 4: Simplify right side
    6,549.98x = 18,368,731.15
  5. Step 5: Solve for x
    x = 18,368,731.15/6,549.98
  6. Step 6: Final answer
    x = 2,804.40

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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.