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Finding the Fourth Proportional to 9,713.29, 13,400.43 and 5,622.40

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Solution

The fourth proportional to 9,713.29, 13,400.43 and 5,622.40 is: 7,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.29 : 13,400.43 = 5,622.40 : x
  2. Step 2: Convert to fraction form
    9,713.29/13,400.43 = 5,622.40/x
  3. Step 3: Cross multiply
    9,713.29x = 13,400.43 × 5,622.40
  4. Step 4: Simplify right side
    9,713.29x = 75,342,577.63
  5. Step 5: Solve for x
    x = 75,342,577.63/9,713.29
  6. Step 6: Final answer
    x = 7,756.65

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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.