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Finding the Fourth Proportional to 9,534.34, 13,156.86 and 5,285.26

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Solution

The fourth proportional to 9,534.34, 13,156.86 and 5,285.26 is: 7,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.34 : 13,156.86 = 5,285.26 : x
  2. Step 2: Convert to fraction form
    9,534.34/13,156.86 = 5,285.26/x
  3. Step 3: Cross multiply
    9,534.34x = 13,156.86 × 5,285.26
  4. Step 4: Simplify right side
    9,534.34x = 69,537,425.88
  5. Step 5: Solve for x
    x = 69,537,425.88/9,534.34
  6. Step 6: Final answer
    x = 7,293.37

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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.