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Finding the Fourth Proportional to 6,904.12, 9,528.78 and 4,111.24

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Solution

The fourth proportional to 6,904.12, 9,528.78 and 4,111.24 is: 5,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.12 : 9,528.78 = 4,111.24 : x
  2. Step 2: Convert to fraction form
    6,904.12/9,528.78 = 4,111.24/x
  3. Step 3: Cross multiply
    6,904.12x = 9,528.78 × 4,111.24
  4. Step 4: Simplify right side
    6,904.12x = 39,175,101.49
  5. Step 5: Solve for x
    x = 39,175,101.49/6,904.12
  6. Step 6: Final answer
    x = 5,674.16

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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.