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Finding the Fourth Proportional to 6,199.11, 9,290.46 and 4,547.93

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Solution

The fourth proportional to 6,199.11, 9,290.46 and 4,547.93 is: 6,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.11 : 9,290.46 = 4,547.93 : x
  2. Step 2: Convert to fraction form
    6,199.11/9,290.46 = 4,547.93/x
  3. Step 3: Cross multiply
    6,199.11x = 9,290.46 × 4,547.93
  4. Step 4: Simplify right side
    6,199.11x = 42,252,315.30
  5. Step 5: Solve for x
    x = 42,252,315.30/6,199.11
  6. Step 6: Final answer
    x = 6,815.87

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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.