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Finding the Fourth Proportional to 9,714.83, 14,565.96 and 5,331.11

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Solution

The fourth proportional to 9,714.83, 14,565.96 and 5,331.11 is: 7,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.83 : 14,565.96 = 5,331.11 : x
  2. Step 2: Convert to fraction form
    9,714.83/14,565.96 = 5,331.11/x
  3. Step 3: Cross multiply
    9,714.83x = 14,565.96 × 5,331.11
  4. Step 4: Simplify right side
    9,714.83x = 77,652,662.19
  5. Step 5: Solve for x
    x = 77,652,662.19/9,714.83
  6. Step 6: Final answer
    x = 7,993.21

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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.