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Finding the Fourth Proportional to 28,274.29, 42,411 and 9,567.47

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Solution

The fourth proportional to 28,274.29, 42,411 and 9,567.47 is: 14,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,274.29 : 42,411 = 9,567.47 : x
  2. Step 2: Convert to fraction form
    28,274.29/42,411 = 9,567.47/x
  3. Step 3: Cross multiply
    28,274.29x = 42,411 × 9,567.47
  4. Step 4: Simplify right side
    28,274.29x = 405,765,970.17
  5. Step 5: Solve for x
    x = 405,765,970.17/28,274.29
  6. Step 6: Final answer
    x = 14,351.06

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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.