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Finding the Fourth Proportional to 9,477.45, 14,235.03 and 5,969.75

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Solution

The fourth proportional to 9,477.45, 14,235.03 and 5,969.75 is: 8,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.45 : 14,235.03 = 5,969.75 : x
  2. Step 2: Convert to fraction form
    9,477.45/14,235.03 = 5,969.75/x
  3. Step 3: Cross multiply
    9,477.45x = 14,235.03 × 5,969.75
  4. Step 4: Simplify right side
    9,477.45x = 84,979,499.17
  5. Step 5: Solve for x
    x = 84,979,499.17/9,477.45
  6. Step 6: Final answer
    x = 8,966.49

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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.