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Finding the Fourth Proportional to 9,207.51, 12,702.31 and 6,222.25

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Solution

The fourth proportional to 9,207.51, 12,702.31 and 6,222.25 is: 8,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.51 : 12,702.31 = 6,222.25 : x
  2. Step 2: Convert to fraction form
    9,207.51/12,702.31 = 6,222.25/x
  3. Step 3: Cross multiply
    9,207.51x = 12,702.31 × 6,222.25
  4. Step 4: Simplify right side
    9,207.51x = 79,036,948.40
  5. Step 5: Solve for x
    x = 79,036,948.40/9,207.51
  6. Step 6: Final answer
    x = 8,583.97

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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.