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Finding the Fourth Proportional to 9,035.64, 13,562.37 and 6,698.79

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Solution

The fourth proportional to 9,035.64, 13,562.37 and 6,698.79 is: 10,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.64 : 13,562.37 = 6,698.79 : x
  2. Step 2: Convert to fraction form
    9,035.64/13,562.37 = 6,698.79/x
  3. Step 3: Cross multiply
    9,035.64x = 13,562.37 × 6,698.79
  4. Step 4: Simplify right side
    9,035.64x = 90,851,468.53
  5. Step 5: Solve for x
    x = 90,851,468.53/9,035.64
  6. Step 6: Final answer
    x = 10,054.79

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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.