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Finding the Fourth Proportional to 28,032.72, 42,049.02 and 9,314.22

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Solution

The fourth proportional to 28,032.72, 42,049.02 and 9,314.22 is: 13,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,032.72 : 42,049.02 = 9,314.22 : x
  2. Step 2: Convert to fraction form
    28,032.72/42,049.02 = 9,314.22/x
  3. Step 3: Cross multiply
    28,032.72x = 42,049.02 × 9,314.22
  4. Step 4: Simplify right side
    28,032.72x = 391,653,823.06
  5. Step 5: Solve for x
    x = 391,653,823.06/28,032.72
  6. Step 6: Final answer
    x = 13,971.31

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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.