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Finding the Fourth Proportional to 9,137.34, 13,703.85 and 4,203.90

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Solution

The fourth proportional to 9,137.34, 13,703.85 and 4,203.90 is: 6,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.34 : 13,703.85 = 4,203.90 : x
  2. Step 2: Convert to fraction form
    9,137.34/13,703.85 = 4,203.90/x
  3. Step 3: Cross multiply
    9,137.34x = 13,703.85 × 4,203.90
  4. Step 4: Simplify right side
    9,137.34x = 57,609,615.02
  5. Step 5: Solve for x
    x = 57,609,615.02/9,137.34
  6. Step 6: Final answer
    x = 6,304.86

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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.