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Finding the Fourth Proportional to 9,470.25, 14,207.47 and 2,896.95

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Solution

The fourth proportional to 9,470.25, 14,207.47 and 2,896.95 is: 4,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.25 : 14,207.47 = 2,896.95 : x
  2. Step 2: Convert to fraction form
    9,470.25/14,207.47 = 2,896.95/x
  3. Step 3: Cross multiply
    9,470.25x = 14,207.47 × 2,896.95
  4. Step 4: Simplify right side
    9,470.25x = 41,158,330.22
  5. Step 5: Solve for x
    x = 41,158,330.22/9,470.25
  6. Step 6: Final answer
    x = 4,346.07

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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.