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Finding the Fourth Proportional to 9,801.51, 14,703.35 and 3,136.43

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Solution

The fourth proportional to 9,801.51, 14,703.35 and 3,136.43 is: 4,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.51 : 14,703.35 = 3,136.43 : x
  2. Step 2: Convert to fraction form
    9,801.51/14,703.35 = 3,136.43/x
  3. Step 3: Cross multiply
    9,801.51x = 14,703.35 × 3,136.43
  4. Step 4: Simplify right side
    9,801.51x = 46,115,938.84
  5. Step 5: Solve for x
    x = 46,115,938.84/9,801.51
  6. Step 6: Final answer
    x = 4,704.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.