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Finding the Fourth Proportional to 10,443.64, 14,403.81 and 9,182.02

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Solution

The fourth proportional to 10,443.64, 14,403.81 and 9,182.02 is: 12,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.64 : 14,403.81 = 9,182.02 : x
  2. Step 2: Convert to fraction form
    10,443.64/14,403.81 = 9,182.02/x
  3. Step 3: Cross multiply
    10,443.64x = 14,403.81 × 9,182.02
  4. Step 4: Simplify right side
    10,443.64x = 132,256,071.50
  5. Step 5: Solve for x
    x = 132,256,071.50/10,443.64
  6. Step 6: Final answer
    x = 12,663.79

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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.