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Finding the Fourth Proportional to 9,808.53, 13,535.84 and 5,332.32

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Solution

The fourth proportional to 9,808.53, 13,535.84 and 5,332.32 is: 7,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.53 : 13,535.84 = 5,332.32 : x
  2. Step 2: Convert to fraction form
    9,808.53/13,535.84 = 5,332.32/x
  3. Step 3: Cross multiply
    9,808.53x = 13,535.84 × 5,332.32
  4. Step 4: Simplify right side
    9,808.53x = 72,177,403.69
  5. Step 5: Solve for x
    x = 72,177,403.69/9,808.53
  6. Step 6: Final answer
    x = 7,358.64

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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.