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Finding the Fourth Proportional to 9,215.80, 12,723.06 and 6,077.46

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Solution

The fourth proportional to 9,215.80, 12,723.06 and 6,077.46 is: 8,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.80 : 12,723.06 = 6,077.46 : x
  2. Step 2: Convert to fraction form
    9,215.80/12,723.06 = 6,077.46/x
  3. Step 3: Cross multiply
    9,215.80x = 12,723.06 × 6,077.46
  4. Step 4: Simplify right side
    9,215.80x = 77,323,888.23
  5. Step 5: Solve for x
    x = 77,323,888.23/9,215.80
  6. Step 6: Final answer
    x = 8,390.36

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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.