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Finding the Fourth Proportional to 10,287.40, 14,219.94 and 9,470.92

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Solution

The fourth proportional to 10,287.40, 14,219.94 and 9,470.92 is: 13,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.40 : 14,219.94 = 9,470.92 : x
  2. Step 2: Convert to fraction form
    10,287.40/14,219.94 = 9,470.92/x
  3. Step 3: Cross multiply
    10,287.40x = 14,219.94 × 9,470.92
  4. Step 4: Simplify right side
    10,287.40x = 134,675,914.14
  5. Step 5: Solve for x
    x = 134,675,914.14/10,287.40
  6. Step 6: Final answer
    x = 13,091.35

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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.