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Finding the Fourth Proportional to 9,135.76, 13,700.94 and 4,750.84

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Solution

The fourth proportional to 9,135.76, 13,700.94 and 4,750.84 is: 7,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.76 : 13,700.94 = 4,750.84 : x
  2. Step 2: Convert to fraction form
    9,135.76/13,700.94 = 4,750.84/x
  3. Step 3: Cross multiply
    9,135.76x = 13,700.94 × 4,750.84
  4. Step 4: Simplify right side
    9,135.76x = 65,090,973.79
  5. Step 5: Solve for x
    x = 65,090,973.79/9,135.76
  6. Step 6: Final answer
    x = 7,124.86

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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.