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Finding the Fourth Proportional to 7,074.63, 9,762.22 and 4,090.02

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Solution

The fourth proportional to 7,074.63, 9,762.22 and 4,090.02 is: 5,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.63 : 9,762.22 = 4,090.02 : x
  2. Step 2: Convert to fraction form
    7,074.63/9,762.22 = 4,090.02/x
  3. Step 3: Cross multiply
    7,074.63x = 9,762.22 × 4,090.02
  4. Step 4: Simplify right side
    7,074.63x = 39,927,675.04
  5. Step 5: Solve for x
    x = 39,927,675.04/7,074.63
  6. Step 6: Final answer
    x = 5,643.78

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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.