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Finding the Fourth Proportional to 9,834.72, 13,558.32 and 7,182.24

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Solution

The fourth proportional to 9,834.72, 13,558.32 and 7,182.24 is: 9,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.72 : 13,558.32 = 7,182.24 : x
  2. Step 2: Convert to fraction form
    9,834.72/13,558.32 = 7,182.24/x
  3. Step 3: Cross multiply
    9,834.72x = 13,558.32 × 7,182.24
  4. Step 4: Simplify right side
    9,834.72x = 97,379,108.24
  5. Step 5: Solve for x
    x = 97,379,108.24/9,834.72
  6. Step 6: Final answer
    x = 9,901.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.