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Finding the Fourth Proportional to 9,407.63, 12,977.91 and 7,914.98

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Solution

The fourth proportional to 9,407.63, 12,977.91 and 7,914.98 is: 10,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.63 : 12,977.91 = 7,914.98 : x
  2. Step 2: Convert to fraction form
    9,407.63/12,977.91 = 7,914.98/x
  3. Step 3: Cross multiply
    9,407.63x = 12,977.91 × 7,914.98
  4. Step 4: Simplify right side
    9,407.63x = 102,719,833.20
  5. Step 5: Solve for x
    x = 102,719,833.20/9,407.63
  6. Step 6: Final answer
    x = 10,918.78

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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.