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Finding the Fourth Proportional to 9,260.34, 12,784.86 and 7,266.12

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Solution

The fourth proportional to 9,260.34, 12,784.86 and 7,266.12 is: 10,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.34 : 12,784.86 = 7,266.12 : x
  2. Step 2: Convert to fraction form
    9,260.34/12,784.86 = 7,266.12/x
  3. Step 3: Cross multiply
    9,260.34x = 12,784.86 × 7,266.12
  4. Step 4: Simplify right side
    9,260.34x = 92,896,326.94
  5. Step 5: Solve for x
    x = 92,896,326.94/9,260.34
  6. Step 6: Final answer
    x = 10,031.63

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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.