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Finding the Fourth Proportional to 10,847.86, 14,970.09 and 6,864.82

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Solution

The fourth proportional to 10,847.86, 14,970.09 and 6,864.82 is: 9,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.86 : 14,970.09 = 6,864.82 : x
  2. Step 2: Convert to fraction form
    10,847.86/14,970.09 = 6,864.82/x
  3. Step 3: Cross multiply
    10,847.86x = 14,970.09 × 6,864.82
  4. Step 4: Simplify right side
    10,847.86x = 102,766,973.23
  5. Step 5: Solve for x
    x = 102,766,973.23/10,847.86
  6. Step 6: Final answer
    x = 9,473.48

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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.