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Finding the Fourth Proportional to 6,526.96, 9,785.64 and 4,189.62

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Solution

The fourth proportional to 6,526.96, 9,785.64 and 4,189.62 is: 6,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.96 : 9,785.64 = 4,189.62 : x
  2. Step 2: Convert to fraction form
    6,526.96/9,785.64 = 4,189.62/x
  3. Step 3: Cross multiply
    6,526.96x = 9,785.64 × 4,189.62
  4. Step 4: Simplify right side
    6,526.96x = 40,998,113.06
  5. Step 5: Solve for x
    x = 40,998,113.06/6,526.96
  6. Step 6: Final answer
    x = 6,281.35

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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.