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Finding the Fourth Proportional to 9,562.35, 13,195.92 and 5,313.43

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Solution

The fourth proportional to 9,562.35, 13,195.92 and 5,313.43 is: 7,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.35 : 13,195.92 = 5,313.43 : x
  2. Step 2: Convert to fraction form
    9,562.35/13,195.92 = 5,313.43/x
  3. Step 3: Cross multiply
    9,562.35x = 13,195.92 × 5,313.43
  4. Step 4: Simplify right side
    9,562.35x = 70,115,597.21
  5. Step 5: Solve for x
    x = 70,115,597.21/9,562.35
  6. Step 6: Final answer
    x = 7,332.47

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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.