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Finding the Fourth Proportional to 9,264.46, 12,784.81 and 5,285.63

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Solution

The fourth proportional to 9,264.46, 12,784.81 and 5,285.63 is: 7,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.46 : 12,784.81 = 5,285.63 : x
  2. Step 2: Convert to fraction form
    9,264.46/12,784.81 = 5,285.63/x
  3. Step 3: Cross multiply
    9,264.46x = 12,784.81 × 5,285.63
  4. Step 4: Simplify right side
    9,264.46x = 67,575,775.28
  5. Step 5: Solve for x
    x = 67,575,775.28/9,264.46
  6. Step 6: Final answer
    x = 7,294.09

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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.