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Finding the Fourth Proportional to 9,562.48, 13,196.31 and 5,313.28

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Solution

The fourth proportional to 9,562.48, 13,196.31 and 5,313.28 is: 7,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.48 : 13,196.31 = 5,313.28 : x
  2. Step 2: Convert to fraction form
    9,562.48/13,196.31 = 5,313.28/x
  3. Step 3: Cross multiply
    9,562.48x = 13,196.31 × 5,313.28
  4. Step 4: Simplify right side
    9,562.48x = 70,115,690.00
  5. Step 5: Solve for x
    x = 70,115,690.00/9,562.48
  6. Step 6: Final answer
    x = 7,332.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.