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Finding the Fourth Proportional to 9,808.36, 13,535.62 and 5,332.12

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Solution

The fourth proportional to 9,808.36, 13,535.62 and 5,332.12 is: 7,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.36 : 13,535.62 = 5,332.12 : x
  2. Step 2: Convert to fraction form
    9,808.36/13,535.62 = 5,332.12/x
  3. Step 3: Cross multiply
    9,808.36x = 13,535.62 × 5,332.12
  4. Step 4: Simplify right side
    9,808.36x = 72,173,550.11
  5. Step 5: Solve for x
    x = 72,173,550.11/9,808.36
  6. Step 6: Final answer
    x = 7,358.37

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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.