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Finding the Fourth Proportional to 9,294.36, 12,826.50 and 5,261.46

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Solution

The fourth proportional to 9,294.36, 12,826.50 and 5,261.46 is: 7,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.36 : 12,826.50 = 5,261.46 : x
  2. Step 2: Convert to fraction form
    9,294.36/12,826.50 = 5,261.46/x
  3. Step 3: Cross multiply
    9,294.36x = 12,826.50 × 5,261.46
  4. Step 4: Simplify right side
    9,294.36x = 67,486,116.69
  5. Step 5: Solve for x
    x = 67,486,116.69/9,294.36
  6. Step 6: Final answer
    x = 7,260.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.