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Finding the Fourth Proportional to 9,053.64, 13,583.70 and 4,123.44

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Solution

The fourth proportional to 9,053.64, 13,583.70 and 4,123.44 is: 6,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.64 : 13,583.70 = 4,123.44 : x
  2. Step 2: Convert to fraction form
    9,053.64/13,583.70 = 4,123.44/x
  3. Step 3: Cross multiply
    9,053.64x = 13,583.70 × 4,123.44
  4. Step 4: Simplify right side
    9,053.64x = 56,011,571.93
  5. Step 5: Solve for x
    x = 56,011,571.93/9,053.64
  6. Step 6: Final answer
    x = 6,186.64

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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.