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Finding the Fourth Proportional to 9,529.56, 13,153.44 and 6,697.56

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Solution

The fourth proportional to 9,529.56, 13,153.44 and 6,697.56 is: 9,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.56 : 13,153.44 = 6,697.56 : x
  2. Step 2: Convert to fraction form
    9,529.56/13,153.44 = 6,697.56/x
  3. Step 3: Cross multiply
    9,529.56x = 13,153.44 × 6,697.56
  4. Step 4: Simplify right side
    9,529.56x = 88,095,953.61
  5. Step 5: Solve for x
    x = 88,095,953.61/9,529.56
  6. Step 6: Final answer
    x = 9,244.49

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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.