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Finding the Fourth Proportional to 10,385.54, 14,346.51 and 9,266.12

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Solution

The fourth proportional to 10,385.54, 14,346.51 and 9,266.12 is: 12,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.54 : 14,346.51 = 9,266.12 : x
  2. Step 2: Convert to fraction form
    10,385.54/14,346.51 = 9,266.12/x
  3. Step 3: Cross multiply
    10,385.54x = 14,346.51 × 9,266.12
  4. Step 4: Simplify right side
    10,385.54x = 132,936,483.24
  5. Step 5: Solve for x
    x = 132,936,483.24/10,385.54
  6. Step 6: Final answer
    x = 12,800.15

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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.