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Finding the Fourth Proportional to 7,117, 9,821.94 and 3,973.26

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Solution

The fourth proportional to 7,117, 9,821.94 and 3,973.26 is: 5,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117 : 9,821.94 = 3,973.26 : x
  2. Step 2: Convert to fraction form
    7,117/9,821.94 = 3,973.26/x
  3. Step 3: Cross multiply
    7,117x = 9,821.94 × 3,973.26
  4. Step 4: Simplify right side
    7,117x = 39,025,121.32
  5. Step 5: Solve for x
    x = 39,025,121.32/7,117
  6. Step 6: Final answer
    x = 5,483.37

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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.