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Finding the Fourth Proportional to 6,904.52, 9,528.16 and 4,072.01

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Solution

The fourth proportional to 6,904.52, 9,528.16 and 4,072.01 is: 5,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.52 : 9,528.16 = 4,072.01 : x
  2. Step 2: Convert to fraction form
    6,904.52/9,528.16 = 4,072.01/x
  3. Step 3: Cross multiply
    6,904.52x = 9,528.16 × 4,072.01
  4. Step 4: Simplify right side
    6,904.52x = 38,798,762.80
  5. Step 5: Solve for x
    x = 38,798,762.80/6,904.52
  6. Step 6: Final answer
    x = 5,619.33

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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.