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Finding the Fourth Proportional to 10,293.69, 14,210.19 and 6,896.55

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Solution

The fourth proportional to 10,293.69, 14,210.19 and 6,896.55 is: 9,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.69 : 14,210.19 = 6,896.55 : x
  2. Step 2: Convert to fraction form
    10,293.69/14,210.19 = 6,896.55/x
  3. Step 3: Cross multiply
    10,293.69x = 14,210.19 × 6,896.55
  4. Step 4: Simplify right side
    10,293.69x = 98,001,285.84
  5. Step 5: Solve for x
    x = 98,001,285.84/10,293.69
  6. Step 6: Final answer
    x = 9,520.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.