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Finding the Fourth Proportional to 6,987.94, 9,643.32 and 4,003.82

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Solution

The fourth proportional to 6,987.94, 9,643.32 and 4,003.82 is: 5,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.94 : 9,643.32 = 4,003.82 : x
  2. Step 2: Convert to fraction form
    6,987.94/9,643.32 = 4,003.82/x
  3. Step 3: Cross multiply
    6,987.94x = 9,643.32 × 4,003.82
  4. Step 4: Simplify right side
    6,987.94x = 38,610,117.48
  5. Step 5: Solve for x
    x = 38,610,117.48/6,987.94
  6. Step 6: Final answer
    x = 5,525.25

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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.