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Finding the Fourth Proportional to 9,280.62, 12,807.29 and 5,301.74

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Solution

The fourth proportional to 9,280.62, 12,807.29 and 5,301.74 is: 7,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.62 : 12,807.29 = 5,301.74 : x
  2. Step 2: Convert to fraction form
    9,280.62/12,807.29 = 5,301.74/x
  3. Step 3: Cross multiply
    9,280.62x = 12,807.29 × 5,301.74
  4. Step 4: Simplify right side
    9,280.62x = 67,900,927.19
  5. Step 5: Solve for x
    x = 67,900,927.19/9,280.62
  6. Step 6: Final answer
    x = 7,316.42

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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.