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Finding the Fourth Proportional to 6,298.39, 9,490.25 and 5,226.76

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Solution

The fourth proportional to 6,298.39, 9,490.25 and 5,226.76 is: 7,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.39 : 9,490.25 = 5,226.76 : x
  2. Step 2: Convert to fraction form
    6,298.39/9,490.25 = 5,226.76/x
  3. Step 3: Cross multiply
    6,298.39x = 9,490.25 × 5,226.76
  4. Step 4: Simplify right side
    6,298.39x = 49,603,259.09
  5. Step 5: Solve for x
    x = 49,603,259.09/6,298.39
  6. Step 6: Final answer
    x = 7,875.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.