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Finding the Fourth Proportional to 9,475.09, 14,224.93 and 7,285.34

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Solution

The fourth proportional to 9,475.09, 14,224.93 and 7,285.34 is: 10,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.09 : 14,224.93 = 7,285.34 : x
  2. Step 2: Convert to fraction form
    9,475.09/14,224.93 = 7,285.34/x
  3. Step 3: Cross multiply
    9,475.09x = 14,224.93 × 7,285.34
  4. Step 4: Simplify right side
    9,475.09x = 103,633,468.88
  5. Step 5: Solve for x
    x = 103,633,468.88/9,475.09
  6. Step 6: Final answer
    x = 10,937.47

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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.