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Finding the Fourth Proportional to 10,401.84, 14,360.84 and 6,870.96

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Solution

The fourth proportional to 10,401.84, 14,360.84 and 6,870.96 is: 9,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.84 : 14,360.84 = 6,870.96 : x
  2. Step 2: Convert to fraction form
    10,401.84/14,360.84 = 6,870.96/x
  3. Step 3: Cross multiply
    10,401.84x = 14,360.84 × 6,870.96
  4. Step 4: Simplify right side
    10,401.84x = 98,672,757.21
  5. Step 5: Solve for x
    x = 98,672,757.21/10,401.84
  6. Step 6: Final answer
    x = 9,486.09

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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.