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Finding the Fourth Proportional to 9,849.68, 14,684.90 and 8,741.60

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Solution

The fourth proportional to 9,849.68, 14,684.90 and 8,741.60 is: 13,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.68 : 14,684.90 = 8,741.60 : x
  2. Step 2: Convert to fraction form
    9,849.68/14,684.90 = 8,741.60/x
  3. Step 3: Cross multiply
    9,849.68x = 14,684.90 × 8,741.60
  4. Step 4: Simplify right side
    9,849.68x = 128,369,521.84
  5. Step 5: Solve for x
    x = 128,369,521.84/9,849.68
  6. Step 6: Final answer
    x = 13,032.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.