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Finding the Fourth Proportional to 9,222.90, 12,728.75 and 5,637.12

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Solution

The fourth proportional to 9,222.90, 12,728.75 and 5,637.12 is: 7,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.90 : 12,728.75 = 5,637.12 : x
  2. Step 2: Convert to fraction form
    9,222.90/12,728.75 = 5,637.12/x
  3. Step 3: Cross multiply
    9,222.90x = 12,728.75 × 5,637.12
  4. Step 4: Simplify right side
    9,222.90x = 71,753,463.01
  5. Step 5: Solve for x
    x = 71,753,463.01/9,222.90
  6. Step 6: Final answer
    x = 7,779.92

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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.