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Finding the Fourth Proportional to 9,538.32, 13,157.43 and 5,559

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Solution

The fourth proportional to 9,538.32, 13,157.43 and 5,559 is: 7,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.32 : 13,157.43 = 5,559 : x
  2. Step 2: Convert to fraction form
    9,538.32/13,157.43 = 5,559/x
  3. Step 3: Cross multiply
    9,538.32x = 13,157.43 × 5,559
  4. Step 4: Simplify right side
    9,538.32x = 73,142,153.37
  5. Step 5: Solve for x
    x = 73,142,153.37/9,538.32
  6. Step 6: Final answer
    x = 7,668.24

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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.