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Finding the Fourth Proportional to 6,227.94, 9,341.62 and 1,547.82

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Solution

The fourth proportional to 6,227.94, 9,341.62 and 1,547.82 is: 2,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.94 : 9,341.62 = 1,547.82 : x
  2. Step 2: Convert to fraction form
    6,227.94/9,341.62 = 1,547.82/x
  3. Step 3: Cross multiply
    6,227.94x = 9,341.62 × 1,547.82
  4. Step 4: Simplify right side
    6,227.94x = 14,459,146.27
  5. Step 5: Solve for x
    x = 14,459,146.27/6,227.94
  6. Step 6: Final answer
    x = 2,321.66

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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.