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Finding the Fourth Proportional to 6,358.31, 9,539.54 and 3,071.78

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Solution

The fourth proportional to 6,358.31, 9,539.54 and 3,071.78 is: 4,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.31 : 9,539.54 = 3,071.78 : x
  2. Step 2: Convert to fraction form
    6,358.31/9,539.54 = 3,071.78/x
  3. Step 3: Cross multiply
    6,358.31x = 9,539.54 × 3,071.78
  4. Step 4: Simplify right side
    6,358.31x = 29,303,368.18
  5. Step 5: Solve for x
    x = 29,303,368.18/6,358.31
  6. Step 6: Final answer
    x = 4,608.67

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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.