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Finding the Fourth Proportional to 9,808.09, 13,535.43 and 5,332.14

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Solution

The fourth proportional to 9,808.09, 13,535.43 and 5,332.14 is: 7,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.09 : 13,535.43 = 5,332.14 : x
  2. Step 2: Convert to fraction form
    9,808.09/13,535.43 = 5,332.14/x
  3. Step 3: Cross multiply
    9,808.09x = 13,535.43 × 5,332.14
  4. Step 4: Simplify right side
    9,808.09x = 72,172,831.82
  5. Step 5: Solve for x
    x = 72,172,831.82/9,808.09
  6. Step 6: Final answer
    x = 7,358.50

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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.