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Finding the Fourth Proportional to 7,004.04, 9,666 and 3,860.20

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Solution

The fourth proportional to 7,004.04, 9,666 and 3,860.20 is: 5,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.04 : 9,666 = 3,860.20 : x
  2. Step 2: Convert to fraction form
    7,004.04/9,666 = 3,860.20/x
  3. Step 3: Cross multiply
    7,004.04x = 9,666 × 3,860.20
  4. Step 4: Simplify right side
    7,004.04x = 37,312,693.20
  5. Step 5: Solve for x
    x = 37,312,693.20/7,004.04
  6. Step 6: Final answer
    x = 5,327.31

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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.