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Finding the Fourth Proportional to 10,401.78, 14,360.34 and 6,875.22

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Solution

The fourth proportional to 10,401.78, 14,360.34 and 6,875.22 is: 9,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.78 : 14,360.34 = 6,875.22 : x
  2. Step 2: Convert to fraction form
    10,401.78/14,360.34 = 6,875.22/x
  3. Step 3: Cross multiply
    10,401.78x = 14,360.34 × 6,875.22
  4. Step 4: Simplify right side
    10,401.78x = 98,730,496.77
  5. Step 5: Solve for x
    x = 98,730,496.77/10,401.78
  6. Step 6: Final answer
    x = 9,491.69

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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.