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Finding the Fourth Proportional to 9,334.95, 12,881.75 and 5,798.09

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Solution

The fourth proportional to 9,334.95, 12,881.75 and 5,798.09 is: 8,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.95 : 12,881.75 = 5,798.09 : x
  2. Step 2: Convert to fraction form
    9,334.95/12,881.75 = 5,798.09/x
  3. Step 3: Cross multiply
    9,334.95x = 12,881.75 × 5,798.09
  4. Step 4: Simplify right side
    9,334.95x = 74,689,452.46
  5. Step 5: Solve for x
    x = 74,689,452.46/9,334.95
  6. Step 6: Final answer
    x = 8,001.06

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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.