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Finding the Fourth Proportional to 9,280.04, 12,800.03 and 5,741.15

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Solution

The fourth proportional to 9,280.04, 12,800.03 and 5,741.15 is: 7,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.04 : 12,800.03 = 5,741.15 : x
  2. Step 2: Convert to fraction form
    9,280.04/12,800.03 = 5,741.15/x
  3. Step 3: Cross multiply
    9,280.04x = 12,800.03 × 5,741.15
  4. Step 4: Simplify right side
    9,280.04x = 73,486,799.53
  5. Step 5: Solve for x
    x = 73,486,799.53/9,280.04
  6. Step 6: Final answer
    x = 7,918.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.