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Finding the Fourth Proportional to 9,264.98, 12,786 and 5,073.24

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Solution

The fourth proportional to 9,264.98, 12,786 and 5,073.24 is: 7,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.98 : 12,786 = 5,073.24 : x
  2. Step 2: Convert to fraction form
    9,264.98/12,786 = 5,073.24/x
  3. Step 3: Cross multiply
    9,264.98x = 12,786 × 5,073.24
  4. Step 4: Simplify right side
    9,264.98x = 64,866,446.64
  5. Step 5: Solve for x
    x = 64,866,446.64/9,264.98
  6. Step 6: Final answer
    x = 7,001.25

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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.