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Finding the Fourth Proportional to 9,712.96, 14,565.42 and 3,047.23

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Solution

The fourth proportional to 9,712.96, 14,565.42 and 3,047.23 is: 4,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.96 : 14,565.42 = 3,047.23 : x
  2. Step 2: Convert to fraction form
    9,712.96/14,565.42 = 3,047.23/x
  3. Step 3: Cross multiply
    9,712.96x = 14,565.42 × 3,047.23
  4. Step 4: Simplify right side
    9,712.96x = 44,384,202.99
  5. Step 5: Solve for x
    x = 44,384,202.99/9,712.96
  6. Step 6: Final answer
    x = 4,569.59

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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.