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Finding the Fourth Proportional to 9,526, 13,145.76 and 5,549.44

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Solution

The fourth proportional to 9,526, 13,145.76 and 5,549.44 is: 7,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526 : 13,145.76 = 5,549.44 : x
  2. Step 2: Convert to fraction form
    9,526/13,145.76 = 5,549.44/x
  3. Step 3: Cross multiply
    9,526x = 13,145.76 × 5,549.44
  4. Step 4: Simplify right side
    9,526x = 72,951,606.37
  5. Step 5: Solve for x
    x = 72,951,606.37/9,526
  6. Step 6: Final answer
    x = 7,658.16

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Why These Related Problems?

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