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Finding the Fourth Proportional to 9,738.14, 13,443.80 and 7,802.90

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Solution

The fourth proportional to 9,738.14, 13,443.80 and 7,802.90 is: 10,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.14 : 13,443.80 = 7,802.90 : x
  2. Step 2: Convert to fraction form
    9,738.14/13,443.80 = 7,802.90/x
  3. Step 3: Cross multiply
    9,738.14x = 13,443.80 × 7,802.90
  4. Step 4: Simplify right side
    9,738.14x = 104,900,520.79
  5. Step 5: Solve for x
    x = 104,900,520.79/9,738.14
  6. Step 6: Final answer
    x = 10,772.14

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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.