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Finding the Fourth Proportional to 9,166.02, 12,643.47 and 7,989.90

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Solution

The fourth proportional to 9,166.02, 12,643.47 and 7,989.90 is: 11,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.02 : 12,643.47 = 7,989.90 : x
  2. Step 2: Convert to fraction form
    9,166.02/12,643.47 = 7,989.90/x
  3. Step 3: Cross multiply
    9,166.02x = 12,643.47 × 7,989.90
  4. Step 4: Simplify right side
    9,166.02x = 101,020,060.95
  5. Step 5: Solve for x
    x = 101,020,060.95/9,166.02
  6. Step 6: Final answer
    x = 11,021.15

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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.