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Finding the Fourth Proportional to 9,807.75, 13,535.24 and 5,617.35

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Solution

The fourth proportional to 9,807.75, 13,535.24 and 5,617.35 is: 7,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.75 : 13,535.24 = 5,617.35 : x
  2. Step 2: Convert to fraction form
    9,807.75/13,535.24 = 5,617.35/x
  3. Step 3: Cross multiply
    9,807.75x = 13,535.24 × 5,617.35
  4. Step 4: Simplify right side
    9,807.75x = 76,032,152.33
  5. Step 5: Solve for x
    x = 76,032,152.33/9,807.75
  6. Step 6: Final answer
    x = 7,752.25

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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.