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Finding the Fourth Proportional to 9,136.76, 13,702.44 and 4,751.84

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Solution

The fourth proportional to 9,136.76, 13,702.44 and 4,751.84 is: 7,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.76 : 13,702.44 = 4,751.84 : x
  2. Step 2: Convert to fraction form
    9,136.76/13,702.44 = 4,751.84/x
  3. Step 3: Cross multiply
    9,136.76x = 13,702.44 × 4,751.84
  4. Step 4: Simplify right side
    9,136.76x = 65,111,802.49
  5. Step 5: Solve for x
    x = 65,111,802.49/9,136.76
  6. Step 6: Final answer
    x = 7,126.36

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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.