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Finding the Fourth Proportional to 6,316.09, 9,473.99 and 1,572.19

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Solution

The fourth proportional to 6,316.09, 9,473.99 and 1,572.19 is: 2,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.09 : 9,473.99 = 1,572.19 : x
  2. Step 2: Convert to fraction form
    6,316.09/9,473.99 = 1,572.19/x
  3. Step 3: Cross multiply
    6,316.09x = 9,473.99 × 1,572.19
  4. Step 4: Simplify right side
    6,316.09x = 14,894,912.34
  5. Step 5: Solve for x
    x = 14,894,912.34/6,316.09
  6. Step 6: Final answer
    x = 2,358.25

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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.