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Finding the Fourth Proportional to 9,698.64, 14,550.20 and 3,458.32

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Solution

The fourth proportional to 9,698.64, 14,550.20 and 3,458.32 is: 5,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.64 : 14,550.20 = 3,458.32 : x
  2. Step 2: Convert to fraction form
    9,698.64/14,550.20 = 3,458.32/x
  3. Step 3: Cross multiply
    9,698.64x = 14,550.20 × 3,458.32
  4. Step 4: Simplify right side
    9,698.64x = 50,319,247.66
  5. Step 5: Solve for x
    x = 50,319,247.66/9,698.64
  6. Step 6: Final answer
    x = 5,188.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.