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Finding the Fourth Proportional to 6,409.56, 9,615.35 and 2,711.81

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Solution

The fourth proportional to 6,409.56, 9,615.35 and 2,711.81 is: 4,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.56 : 9,615.35 = 2,711.81 : x
  2. Step 2: Convert to fraction form
    6,409.56/9,615.35 = 2,711.81/x
  3. Step 3: Cross multiply
    6,409.56x = 9,615.35 × 2,711.81
  4. Step 4: Simplify right side
    6,409.56x = 26,075,025.47
  5. Step 5: Solve for x
    x = 26,075,025.47/6,409.56
  6. Step 6: Final answer
    x = 4,068.15

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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.