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Finding the Fourth Proportional to 9,295.15, 13,946.14 and 4,299.93

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Solution

The fourth proportional to 9,295.15, 13,946.14 and 4,299.93 is: 6,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.15 : 13,946.14 = 4,299.93 : x
  2. Step 2: Convert to fraction form
    9,295.15/13,946.14 = 4,299.93/x
  3. Step 3: Cross multiply
    9,295.15x = 13,946.14 × 4,299.93
  4. Step 4: Simplify right side
    9,295.15x = 59,967,415.02
  5. Step 5: Solve for x
    x = 59,967,415.02/9,295.15
  6. Step 6: Final answer
    x = 6,451.48

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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.