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Finding the Fourth Proportional to 9,827.68, 14,726.04 and 5,869.24

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Solution

The fourth proportional to 9,827.68, 14,726.04 and 5,869.24 is: 8,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.68 : 14,726.04 = 5,869.24 : x
  2. Step 2: Convert to fraction form
    9,827.68/14,726.04 = 5,869.24/x
  3. Step 3: Cross multiply
    9,827.68x = 14,726.04 × 5,869.24
  4. Step 4: Simplify right side
    9,827.68x = 86,430,663.01
  5. Step 5: Solve for x
    x = 86,430,663.01/9,827.68
  6. Step 6: Final answer
    x = 8,794.62

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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.