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Finding the Fourth Proportional to 9,673.86, 14,500.66 and 4,054.74

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Solution

The fourth proportional to 9,673.86, 14,500.66 and 4,054.74 is: 6,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.86 : 14,500.66 = 4,054.74 : x
  2. Step 2: Convert to fraction form
    9,673.86/14,500.66 = 4,054.74/x
  3. Step 3: Cross multiply
    9,673.86x = 14,500.66 × 4,054.74
  4. Step 4: Simplify right side
    9,673.86x = 58,796,406.13
  5. Step 5: Solve for x
    x = 58,796,406.13/9,673.86
  6. Step 6: Final answer
    x = 6,077.86

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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.