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Finding the Fourth Proportional to 9,264.66, 12,784.94 and 5,487.85

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Solution

The fourth proportional to 9,264.66, 12,784.94 and 5,487.85 is: 7,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.66 : 12,784.94 = 5,487.85 : x
  2. Step 2: Convert to fraction form
    9,264.66/12,784.94 = 5,487.85/x
  3. Step 3: Cross multiply
    9,264.66x = 12,784.94 × 5,487.85
  4. Step 4: Simplify right side
    9,264.66x = 70,161,842.10
  5. Step 5: Solve for x
    x = 70,161,842.10/9,264.66
  6. Step 6: Final answer
    x = 7,573.06

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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.