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Finding the Fourth Proportional to 6,902.60, 9,525.35 and 4,543.07

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Solution

The fourth proportional to 6,902.60, 9,525.35 and 4,543.07 is: 6,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.60 : 9,525.35 = 4,543.07 : x
  2. Step 2: Convert to fraction form
    6,902.60/9,525.35 = 4,543.07/x
  3. Step 3: Cross multiply
    6,902.60x = 9,525.35 × 4,543.07
  4. Step 4: Simplify right side
    6,902.60x = 43,274,309.11
  5. Step 5: Solve for x
    x = 43,274,309.11/6,902.60
  6. Step 6: Final answer
    x = 6,269.28

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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.