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Finding the Fourth Proportional to 9,470.67, 14,206.02 and 2,896.86

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Solution

The fourth proportional to 9,470.67, 14,206.02 and 2,896.86 is: 4,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.67 : 14,206.02 = 2,896.86 : x
  2. Step 2: Convert to fraction form
    9,470.67/14,206.02 = 2,896.86/x
  3. Step 3: Cross multiply
    9,470.67x = 14,206.02 × 2,896.86
  4. Step 4: Simplify right side
    9,470.67x = 41,152,851.10
  5. Step 5: Solve for x
    x = 41,152,851.10/9,470.67
  6. Step 6: Final answer
    x = 4,345.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.