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Finding the Fourth Proportional to 9,280.25, 12,806.75 and 5,088.50

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Solution

The fourth proportional to 9,280.25, 12,806.75 and 5,088.50 is: 7,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.25 : 12,806.75 = 5,088.50 : x
  2. Step 2: Convert to fraction form
    9,280.25/12,806.75 = 5,088.50/x
  3. Step 3: Cross multiply
    9,280.25x = 12,806.75 × 5,088.50
  4. Step 4: Simplify right side
    9,280.25x = 65,167,147.38
  5. Step 5: Solve for x
    x = 65,167,147.38/9,280.25
  6. Step 6: Final answer
    x = 7,022.13

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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.