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Finding the Fourth Proportional to 9,353.57, 14,030.20 and 5,410.76

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Solution

The fourth proportional to 9,353.57, 14,030.20 and 5,410.76 is: 8,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.57 : 14,030.20 = 5,410.76 : x
  2. Step 2: Convert to fraction form
    9,353.57/14,030.20 = 5,410.76/x
  3. Step 3: Cross multiply
    9,353.57x = 14,030.20 × 5,410.76
  4. Step 4: Simplify right side
    9,353.57x = 75,914,017.90
  5. Step 5: Solve for x
    x = 75,914,017.90/9,353.57
  6. Step 6: Final answer
    x = 8,116.05

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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.