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Finding the Fourth Proportional to 9,477.60, 14,211.36 and 6,520.56

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Solution

The fourth proportional to 9,477.60, 14,211.36 and 6,520.56 is: 9,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.60 : 14,211.36 = 6,520.56 : x
  2. Step 2: Convert to fraction form
    9,477.60/14,211.36 = 6,520.56/x
  3. Step 3: Cross multiply
    9,477.60x = 14,211.36 × 6,520.56
  4. Step 4: Simplify right side
    9,477.60x = 92,666,025.56
  5. Step 5: Solve for x
    x = 92,666,025.56/9,477.60
  6. Step 6: Final answer
    x = 9,777.37

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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.