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Finding the Fourth Proportional to 28,430.96, 42,651.30 and 9,709.97

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Solution

The fourth proportional to 28,430.96, 42,651.30 and 9,709.97 is: 14,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,430.96 : 42,651.30 = 9,709.97 : x
  2. Step 2: Convert to fraction form
    28,430.96/42,651.30 = 9,709.97/x
  3. Step 3: Cross multiply
    28,430.96x = 42,651.30 × 9,709.97
  4. Step 4: Simplify right side
    28,430.96x = 414,142,843.46
  5. Step 5: Solve for x
    x = 414,142,843.46/28,430.96
  6. Step 6: Final answer
    x = 14,566.61

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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.