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Finding the Fourth Proportional to 9,385.11, 12,951.09 and 5,406.93

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Solution

The fourth proportional to 9,385.11, 12,951.09 and 5,406.93 is: 7,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.11 : 12,951.09 = 5,406.93 : x
  2. Step 2: Convert to fraction form
    9,385.11/12,951.09 = 5,406.93/x
  3. Step 3: Cross multiply
    9,385.11x = 12,951.09 × 5,406.93
  4. Step 4: Simplify right side
    9,385.11x = 70,025,637.05
  5. Step 5: Solve for x
    x = 70,025,637.05/9,385.11
  6. Step 6: Final answer
    x = 7,461.35

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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.