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Finding the Fourth Proportional to 9,801.84, 14,688.36 and 7,726.92

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Solution

The fourth proportional to 9,801.84, 14,688.36 and 7,726.92 is: 11,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.84 : 14,688.36 = 7,726.92 : x
  2. Step 2: Convert to fraction form
    9,801.84/14,688.36 = 7,726.92/x
  3. Step 3: Cross multiply
    9,801.84x = 14,688.36 × 7,726.92
  4. Step 4: Simplify right side
    9,801.84x = 113,495,782.65
  5. Step 5: Solve for x
    x = 113,495,782.65/9,801.84
  6. Step 6: Final answer
    x = 11,579.03

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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.