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Finding the Fourth Proportional to 10,291.54, 14,191.92 and 9,153.62

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Solution

The fourth proportional to 10,291.54, 14,191.92 and 9,153.62 is: 12,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.54 : 14,191.92 = 9,153.62 : x
  2. Step 2: Convert to fraction form
    10,291.54/14,191.92 = 9,153.62/x
  3. Step 3: Cross multiply
    10,291.54x = 14,191.92 × 9,153.62
  4. Step 4: Simplify right side
    10,291.54x = 129,907,457.84
  5. Step 5: Solve for x
    x = 129,907,457.84/10,291.54
  6. Step 6: Final answer
    x = 12,622.74

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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.