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Finding the Fourth Proportional to 6,159.30, 9,237.09 and 2,462.04

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Solution

The fourth proportional to 6,159.30, 9,237.09 and 2,462.04 is: 3,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.30 : 9,237.09 = 2,462.04 : x
  2. Step 2: Convert to fraction form
    6,159.30/9,237.09 = 2,462.04/x
  3. Step 3: Cross multiply
    6,159.30x = 9,237.09 × 2,462.04
  4. Step 4: Simplify right side
    6,159.30x = 22,742,085.06
  5. Step 5: Solve for x
    x = 22,742,085.06/6,159.30
  6. Step 6: Final answer
    x = 3,692.32

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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.