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Finding the Fourth Proportional to 6,245.16, 9,368.27 and 2,547.64

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Solution

The fourth proportional to 6,245.16, 9,368.27 and 2,547.64 is: 3,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.16 : 9,368.27 = 2,547.64 : x
  2. Step 2: Convert to fraction form
    6,245.16/9,368.27 = 2,547.64/x
  3. Step 3: Cross multiply
    6,245.16x = 9,368.27 × 2,547.64
  4. Step 4: Simplify right side
    6,245.16x = 23,866,979.38
  5. Step 5: Solve for x
    x = 23,866,979.38/6,245.16
  6. Step 6: Final answer
    x = 3,821.68

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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.