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Finding the Fourth Proportional to 7,166.04, 9,889.47 and 4,022.34

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Solution

The fourth proportional to 7,166.04, 9,889.47 and 4,022.34 is: 5,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.04 : 9,889.47 = 4,022.34 : x
  2. Step 2: Convert to fraction form
    7,166.04/9,889.47 = 4,022.34/x
  3. Step 3: Cross multiply
    7,166.04x = 9,889.47 × 4,022.34
  4. Step 4: Simplify right side
    7,166.04x = 39,778,810.76
  5. Step 5: Solve for x
    x = 39,778,810.76/7,166.04
  6. Step 6: Final answer
    x = 5,551.02

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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.