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Finding the Fourth Proportional to 9,261.82, 12,782.19 and 5,070.70

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Solution

The fourth proportional to 9,261.82, 12,782.19 and 5,070.70 is: 6,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.82 : 12,782.19 = 5,070.70 : x
  2. Step 2: Convert to fraction form
    9,261.82/12,782.19 = 5,070.70/x
  3. Step 3: Cross multiply
    9,261.82x = 12,782.19 × 5,070.70
  4. Step 4: Simplify right side
    9,261.82x = 64,814,650.83
  5. Step 5: Solve for x
    x = 64,814,650.83/9,261.82
  6. Step 6: Final answer
    x = 6,998.05

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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.