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Finding the Fourth Proportional to 6,547.49, 9,818.00 and 3,427.01

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Solution

The fourth proportional to 6,547.49, 9,818.00 and 3,427.01 is: 5,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.49 : 9,818.00 = 3,427.01 : x
  2. Step 2: Convert to fraction form
    6,547.49/9,818.00 = 3,427.01/x
  3. Step 3: Cross multiply
    6,547.49x = 9,818.00 × 3,427.01
  4. Step 4: Simplify right side
    6,547.49x = 33,646,367.04
  5. Step 5: Solve for x
    x = 33,646,367.04/6,547.49
  6. Step 6: Final answer
    x = 5,138.82

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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.