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Finding the Fourth Proportional to 10,040.84, 13,857.99 and 9,597.91

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Solution

The fourth proportional to 10,040.84, 13,857.99 and 9,597.91 is: 13,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.84 : 13,857.99 = 9,597.91 : x
  2. Step 2: Convert to fraction form
    10,040.84/13,857.99 = 9,597.91/x
  3. Step 3: Cross multiply
    10,040.84x = 13,857.99 × 9,597.91
  4. Step 4: Simplify right side
    10,040.84x = 133,007,671.51
  5. Step 5: Solve for x
    x = 133,007,671.51/10,040.84
  6. Step 6: Final answer
    x = 13,246.67

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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.