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Finding the Fourth Proportional to 9,977.81, 13,767.17 and 5,783.63

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Solution

The fourth proportional to 9,977.81, 13,767.17 and 5,783.63 is: 7,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.81 : 13,767.17 = 5,783.63 : x
  2. Step 2: Convert to fraction form
    9,977.81/13,767.17 = 5,783.63/x
  3. Step 3: Cross multiply
    9,977.81x = 13,767.17 × 5,783.63
  4. Step 4: Simplify right side
    9,977.81x = 79,624,119.67
  5. Step 5: Solve for x
    x = 79,624,119.67/9,977.81
  6. Step 6: Final answer
    x = 7,980.12

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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.