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Finding the Fourth Proportional to 9,222.90, 12,730.32 and 7,977.36

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Solution

The fourth proportional to 9,222.90, 12,730.32 and 7,977.36 is: 11,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.90 : 12,730.32 = 7,977.36 : x
  2. Step 2: Convert to fraction form
    9,222.90/12,730.32 = 7,977.36/x
  3. Step 3: Cross multiply
    9,222.90x = 12,730.32 × 7,977.36
  4. Step 4: Simplify right side
    9,222.90x = 101,554,345.56
  5. Step 5: Solve for x
    x = 101,554,345.56/9,222.90
  6. Step 6: Final answer
    x = 11,011.11

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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.