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Finding the Fourth Proportional to 9,717.17, 13,411.37 and 5,738.45

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Solution

The fourth proportional to 9,717.17, 13,411.37 and 5,738.45 is: 7,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.17 : 13,411.37 = 5,738.45 : x
  2. Step 2: Convert to fraction form
    9,717.17/13,411.37 = 5,738.45/x
  3. Step 3: Cross multiply
    9,717.17x = 13,411.37 × 5,738.45
  4. Step 4: Simplify right side
    9,717.17x = 76,960,423.47
  5. Step 5: Solve for x
    x = 76,960,423.47/9,717.17
  6. Step 6: Final answer
    x = 7,920.05

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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.