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Finding the Fourth Proportional to 9,006.71, 12,428.74 and 5,028.07

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Solution

The fourth proportional to 9,006.71, 12,428.74 and 5,028.07 is: 6,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.71 : 12,428.74 = 5,028.07 : x
  2. Step 2: Convert to fraction form
    9,006.71/12,428.74 = 5,028.07/x
  3. Step 3: Cross multiply
    9,006.71x = 12,428.74 × 5,028.07
  4. Step 4: Simplify right side
    9,006.71x = 62,492,608.20
  5. Step 5: Solve for x
    x = 62,492,608.20/9,006.71
  6. Step 6: Final answer
    x = 6,938.45

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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.