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Finding the Fourth Proportional to 9,590.69, 14,366.90 and 7,619.66

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Solution

The fourth proportional to 9,590.69, 14,366.90 and 7,619.66 is: 11,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.69 : 14,366.90 = 7,619.66 : x
  2. Step 2: Convert to fraction form
    9,590.69/14,366.90 = 7,619.66/x
  3. Step 3: Cross multiply
    9,590.69x = 14,366.90 × 7,619.66
  4. Step 4: Simplify right side
    9,590.69x = 109,470,783.32
  5. Step 5: Solve for x
    x = 109,470,783.32/9,590.69
  6. Step 6: Final answer
    x = 11,414.28

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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.