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Finding the Fourth Proportional to 7,022.25, 9,690.74 and 4,038.26

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Solution

The fourth proportional to 7,022.25, 9,690.74 and 4,038.26 is: 5,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.25 : 9,690.74 = 4,038.26 : x
  2. Step 2: Convert to fraction form
    7,022.25/9,690.74 = 4,038.26/x
  3. Step 3: Cross multiply
    7,022.25x = 9,690.74 × 4,038.26
  4. Step 4: Simplify right side
    7,022.25x = 39,133,728.72
  5. Step 5: Solve for x
    x = 39,133,728.72/7,022.25
  6. Step 6: Final answer
    x = 5,572.82

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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.