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Finding the Fourth Proportional to 9,712.74, 13,403.07 and 5,732.40

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Solution

The fourth proportional to 9,712.74, 13,403.07 and 5,732.40 is: 7,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.74 : 13,403.07 = 5,732.40 : x
  2. Step 2: Convert to fraction form
    9,712.74/13,403.07 = 5,732.40/x
  3. Step 3: Cross multiply
    9,712.74x = 13,403.07 × 5,732.40
  4. Step 4: Simplify right side
    9,712.74x = 76,831,808.73
  5. Step 5: Solve for x
    x = 76,831,808.73/9,712.74
  6. Step 6: Final answer
    x = 7,910.41

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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.