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Finding the Fourth Proportional to 6,129.80, 9,199.80 and 4,746.80

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Solution

The fourth proportional to 6,129.80, 9,199.80 and 4,746.80 is: 7,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.80 : 9,199.80 = 4,746.80 : x
  2. Step 2: Convert to fraction form
    6,129.80/9,199.80 = 4,746.80/x
  3. Step 3: Cross multiply
    6,129.80x = 9,199.80 × 4,746.80
  4. Step 4: Simplify right side
    6,129.80x = 43,669,610.64
  5. Step 5: Solve for x
    x = 43,669,610.64/6,129.80
  6. Step 6: Final answer
    x = 7,124.15

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