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Finding the Fourth Proportional to 6,973.84, 10,459.61 and 2,293.91

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Solution

The fourth proportional to 6,973.84, 10,459.61 and 2,293.91 is: 3,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.84 : 10,459.61 = 2,293.91 : x
  2. Step 2: Convert to fraction form
    6,973.84/10,459.61 = 2,293.91/x
  3. Step 3: Cross multiply
    6,973.84x = 10,459.61 × 2,293.91
  4. Step 4: Simplify right side
    6,973.84x = 23,993,414.48
  5. Step 5: Solve for x
    x = 23,993,414.48/6,973.84
  6. Step 6: Final answer
    x = 3,440.49

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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.