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Finding the Fourth Proportional to 6,746.49, 10,126.22 and 6,322.05

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Solution

The fourth proportional to 6,746.49, 10,126.22 and 6,322.05 is: 9,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.49 : 10,126.22 = 6,322.05 : x
  2. Step 2: Convert to fraction form
    6,746.49/10,126.22 = 6,322.05/x
  3. Step 3: Cross multiply
    6,746.49x = 10,126.22 × 6,322.05
  4. Step 4: Simplify right side
    6,746.49x = 64,018,437.54
  5. Step 5: Solve for x
    x = 64,018,437.54/6,746.49
  6. Step 6: Final answer
    x = 9,489.15

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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.