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Finding the Fourth Proportional to 6,969.94, 9,618.29 and 3,985.72

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Solution

The fourth proportional to 6,969.94, 9,618.29 and 3,985.72 is: 5,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.94 : 9,618.29 = 3,985.72 : x
  2. Step 2: Convert to fraction form
    6,969.94/9,618.29 = 3,985.72/x
  3. Step 3: Cross multiply
    6,969.94x = 9,618.29 × 3,985.72
  4. Step 4: Simplify right side
    6,969.94x = 38,335,742.80
  5. Step 5: Solve for x
    x = 38,335,742.80/6,969.94
  6. Step 6: Final answer
    x = 5,500.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.