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Finding the Fourth Proportional to 9,264.98, 12,785.70 and 5,016.02

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Solution

The fourth proportional to 9,264.98, 12,785.70 and 5,016.02 is: 6,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.98 : 12,785.70 = 5,016.02 : x
  2. Step 2: Convert to fraction form
    9,264.98/12,785.70 = 5,016.02/x
  3. Step 3: Cross multiply
    9,264.98x = 12,785.70 × 5,016.02
  4. Step 4: Simplify right side
    9,264.98x = 64,133,326.91
  5. Step 5: Solve for x
    x = 64,133,326.91/9,264.98
  6. Step 6: Final answer
    x = 6,922.12

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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.