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Finding the Fourth Proportional to 6,090.40, 9,116.40 and 4,784.80

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Solution

The fourth proportional to 6,090.40, 9,116.40 and 4,784.80 is: 7,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.40 : 9,116.40 = 4,784.80 : x
  2. Step 2: Convert to fraction form
    6,090.40/9,116.40 = 4,784.80/x
  3. Step 3: Cross multiply
    6,090.40x = 9,116.40 × 4,784.80
  4. Step 4: Simplify right side
    6,090.40x = 43,620,150.72
  5. Step 5: Solve for x
    x = 43,620,150.72/6,090.40
  6. Step 6: Final answer
    x = 7,162.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.