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Finding the Fourth Proportional to 9,711.84, 13,401.54 and 5,733.12

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Solution

The fourth proportional to 9,711.84, 13,401.54 and 5,733.12 is: 7,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.84 : 13,401.54 = 5,733.12 : x
  2. Step 2: Convert to fraction form
    9,711.84/13,401.54 = 5,733.12/x
  3. Step 3: Cross multiply
    9,711.84x = 13,401.54 × 5,733.12
  4. Step 4: Simplify right side
    9,711.84x = 76,832,637.00
  5. Step 5: Solve for x
    x = 76,832,637.00/9,711.84
  6. Step 6: Final answer
    x = 7,911.23

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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.