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Finding the Fourth Proportional to 9,278.88, 12,804.92 and 5,744.17

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Solution

The fourth proportional to 9,278.88, 12,804.92 and 5,744.17 is: 7,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.88 : 12,804.92 = 5,744.17 : x
  2. Step 2: Convert to fraction form
    9,278.88/12,804.92 = 5,744.17/x
  3. Step 3: Cross multiply
    9,278.88x = 12,804.92 × 5,744.17
  4. Step 4: Simplify right side
    9,278.88x = 73,553,637.32
  5. Step 5: Solve for x
    x = 73,553,637.32/9,278.88
  6. Step 6: Final answer
    x = 7,927.00

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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.