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Finding the Fourth Proportional to 9,708.16, 13,397.10 and 5,401.09

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Solution

The fourth proportional to 9,708.16, 13,397.10 and 5,401.09 is: 7,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.16 : 13,397.10 = 5,401.09 : x
  2. Step 2: Convert to fraction form
    9,708.16/13,397.10 = 5,401.09/x
  3. Step 3: Cross multiply
    9,708.16x = 13,397.10 × 5,401.09
  4. Step 4: Simplify right side
    9,708.16x = 72,358,894.35
  5. Step 5: Solve for x
    x = 72,358,894.35/9,708.16
  6. Step 6: Final answer
    x = 7,453.41

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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.