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Finding the Fourth Proportional to 6,298.26, 9,444.24 and 3,666.63

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Solution

The fourth proportional to 6,298.26, 9,444.24 and 3,666.63 is: 5,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.26 : 9,444.24 = 3,666.63 : x
  2. Step 2: Convert to fraction form
    6,298.26/9,444.24 = 3,666.63/x
  3. Step 3: Cross multiply
    6,298.26x = 9,444.24 × 3,666.63
  4. Step 4: Simplify right side
    6,298.26x = 34,628,533.71
  5. Step 5: Solve for x
    x = 34,628,533.71/6,298.26
  6. Step 6: Final answer
    x = 5,498.11

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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.