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Finding the Fourth Proportional to 9,266.68, 12,787.62 and 5,730.28

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Solution

The fourth proportional to 9,266.68, 12,787.62 and 5,730.28 is: 7,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.68 : 12,787.62 = 5,730.28 : x
  2. Step 2: Convert to fraction form
    9,266.68/12,787.62 = 5,730.28/x
  3. Step 3: Cross multiply
    9,266.68x = 12,787.62 × 5,730.28
  4. Step 4: Simplify right side
    9,266.68x = 73,276,643.13
  5. Step 5: Solve for x
    x = 73,276,643.13/9,266.68
  6. Step 6: Final answer
    x = 7,907.54

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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.