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Finding the Fourth Proportional to 9,663.06, 13,341.33 and 7,420.71

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Solution

The fourth proportional to 9,663.06, 13,341.33 and 7,420.71 is: 10,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.06 : 13,341.33 = 7,420.71 : x
  2. Step 2: Convert to fraction form
    9,663.06/13,341.33 = 7,420.71/x
  3. Step 3: Cross multiply
    9,663.06x = 13,341.33 × 7,420.71
  4. Step 4: Simplify right side
    9,663.06x = 99,002,140.94
  5. Step 5: Solve for x
    x = 99,002,140.94/9,663.06
  6. Step 6: Final answer
    x = 10,245.42

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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.