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Finding the Fourth Proportional to 9,259, 12,761.88 and 7,020.16

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Solution

The fourth proportional to 9,259, 12,761.88 and 7,020.16 is: 9,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259 : 12,761.88 = 7,020.16 : x
  2. Step 2: Convert to fraction form
    9,259/12,761.88 = 7,020.16/x
  3. Step 3: Cross multiply
    9,259x = 12,761.88 × 7,020.16
  4. Step 4: Simplify right side
    9,259x = 89,590,439.50
  5. Step 5: Solve for x
    x = 89,590,439.50/9,259
  6. Step 6: Final answer
    x = 9,676.04

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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.