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Finding the Fourth Proportional to 6,965.10, 9,586.80 and 6,300.54

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Solution

The fourth proportional to 6,965.10, 9,586.80 and 6,300.54 is: 8,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.10 : 9,586.80 = 6,300.54 : x
  2. Step 2: Convert to fraction form
    6,965.10/9,586.80 = 6,300.54/x
  3. Step 3: Cross multiply
    6,965.10x = 9,586.80 × 6,300.54
  4. Step 4: Simplify right side
    6,965.10x = 60,402,016.87
  5. Step 5: Solve for x
    x = 60,402,016.87/6,965.10
  6. Step 6: Final answer
    x = 8,672.10

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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.