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Finding the Fourth Proportional to 6,686.04, 9,225.80 and 3,702.05

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Solution

The fourth proportional to 6,686.04, 9,225.80 and 3,702.05 is: 5,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.04 : 9,225.80 = 3,702.05 : x
  2. Step 2: Convert to fraction form
    6,686.04/9,225.80 = 3,702.05/x
  3. Step 3: Cross multiply
    6,686.04x = 9,225.80 × 3,702.05
  4. Step 4: Simplify right side
    6,686.04x = 34,154,408.63
  5. Step 5: Solve for x
    x = 34,154,408.63/6,686.04
  6. Step 6: Final answer
    x = 5,108.31

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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.