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Finding the Fourth Proportional to 9,290.35, 12,810.91 and 7,166.22

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Solution

The fourth proportional to 9,290.35, 12,810.91 and 7,166.22 is: 9,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.35 : 12,810.91 = 7,166.22 : x
  2. Step 2: Convert to fraction form
    9,290.35/12,810.91 = 7,166.22/x
  3. Step 3: Cross multiply
    9,290.35x = 12,810.91 × 7,166.22
  4. Step 4: Simplify right side
    9,290.35x = 91,805,763.63
  5. Step 5: Solve for x
    x = 91,805,763.63/9,290.35
  6. Step 6: Final answer
    x = 9,881.85

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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.