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Finding the Fourth Proportional to 9,430.58, 14,145.99 and 2,857.06

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Solution

The fourth proportional to 9,430.58, 14,145.99 and 2,857.06 is: 4,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.58 : 14,145.99 = 2,857.06 : x
  2. Step 2: Convert to fraction form
    9,430.58/14,145.99 = 2,857.06/x
  3. Step 3: Cross multiply
    9,430.58x = 14,145.99 × 2,857.06
  4. Step 4: Simplify right side
    9,430.58x = 40,415,906.82
  5. Step 5: Solve for x
    x = 40,415,906.82/9,430.58
  6. Step 6: Final answer
    x = 4,285.62

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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.