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Finding the Fourth Proportional to 9,407.76, 14,117.04 and 3,562.80

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Solution

The fourth proportional to 9,407.76, 14,117.04 and 3,562.80 is: 5,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.76 : 14,117.04 = 3,562.80 : x
  2. Step 2: Convert to fraction form
    9,407.76/14,117.04 = 3,562.80/x
  3. Step 3: Cross multiply
    9,407.76x = 14,117.04 × 3,562.80
  4. Step 4: Simplify right side
    9,407.76x = 50,296,190.11
  5. Step 5: Solve for x
    x = 50,296,190.11/9,407.76
  6. Step 6: Final answer
    x = 5,346.25

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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.