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Finding the Fourth Proportional to 9,402.30, 14,113.71 and 6,929.46

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Solution

The fourth proportional to 9,402.30, 14,113.71 and 6,929.46 is: 10,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.30 : 14,113.71 = 6,929.46 : x
  2. Step 2: Convert to fraction form
    9,402.30/14,113.71 = 6,929.46/x
  3. Step 3: Cross multiply
    9,402.30x = 14,113.71 × 6,929.46
  4. Step 4: Simplify right side
    9,402.30x = 97,800,388.90
  5. Step 5: Solve for x
    x = 97,800,388.90/9,402.30
  6. Step 6: Final answer
    x = 10,401.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.