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Finding the Fourth Proportional to 9,215.40, 12,712.64 and 5,852.73

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Solution

The fourth proportional to 9,215.40, 12,712.64 and 5,852.73 is: 8,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.40 : 12,712.64 = 5,852.73 : x
  2. Step 2: Convert to fraction form
    9,215.40/12,712.64 = 5,852.73/x
  3. Step 3: Cross multiply
    9,215.40x = 12,712.64 × 5,852.73
  4. Step 4: Simplify right side
    9,215.40x = 74,403,620.24
  5. Step 5: Solve for x
    x = 74,403,620.24/9,215.40
  6. Step 6: Final answer
    x = 8,073.84

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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.