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Finding the Fourth Proportional to 9,645.12, 13,308.84 and 5,453.28

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Solution

The fourth proportional to 9,645.12, 13,308.84 and 5,453.28 is: 7,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.12 : 13,308.84 = 5,453.28 : x
  2. Step 2: Convert to fraction form
    9,645.12/13,308.84 = 5,453.28/x
  3. Step 3: Cross multiply
    9,645.12x = 13,308.84 × 5,453.28
  4. Step 4: Simplify right side
    9,645.12x = 72,576,831.00
  5. Step 5: Solve for x
    x = 72,576,831.00/9,645.12
  6. Step 6: Final answer
    x = 7,524.72

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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.