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Finding the Fourth Proportional to 9,302.34, 13,952.28 and 4,107

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Solution

The fourth proportional to 9,302.34, 13,952.28 and 4,107 is: 6,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.34 : 13,952.28 = 4,107 : x
  2. Step 2: Convert to fraction form
    9,302.34/13,952.28 = 4,107/x
  3. Step 3: Cross multiply
    9,302.34x = 13,952.28 × 4,107
  4. Step 4: Simplify right side
    9,302.34x = 57,302,013.96
  5. Step 5: Solve for x
    x = 57,302,013.96/9,302.34
  6. Step 6: Final answer
    x = 6,159.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.