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Finding the Fourth Proportional to 7,137.12, 9,853.92 and 4,347.36

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Solution

The fourth proportional to 7,137.12, 9,853.92 and 4,347.36 is: 6,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.12 : 9,853.92 = 4,347.36 : x
  2. Step 2: Convert to fraction form
    7,137.12/9,853.92 = 4,347.36/x
  3. Step 3: Cross multiply
    7,137.12x = 9,853.92 × 4,347.36
  4. Step 4: Simplify right side
    7,137.12x = 42,838,537.65
  5. Step 5: Solve for x
    x = 42,838,537.65/7,137.12
  6. Step 6: Final answer
    x = 6,002.22

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