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Finding the Fourth Proportional to 9,535.62, 14,277 and 7,188.51

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Solution

The fourth proportional to 9,535.62, 14,277 and 7,188.51 is: 10,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.62 : 14,277 = 7,188.51 : x
  2. Step 2: Convert to fraction form
    9,535.62/14,277 = 7,188.51/x
  3. Step 3: Cross multiply
    9,535.62x = 14,277 × 7,188.51
  4. Step 4: Simplify right side
    9,535.62x = 102,630,357.27
  5. Step 5: Solve for x
    x = 102,630,357.27/9,535.62
  6. Step 6: Final answer
    x = 10,762.84

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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.