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Finding the Fourth Proportional to 9,054.66, 13,584.70 and 6,104.93

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Solution

The fourth proportional to 9,054.66, 13,584.70 and 6,104.93 is: 9,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.66 : 13,584.70 = 6,104.93 : x
  2. Step 2: Convert to fraction form
    9,054.66/13,584.70 = 6,104.93/x
  3. Step 3: Cross multiply
    9,054.66x = 13,584.70 × 6,104.93
  4. Step 4: Simplify right side
    9,054.66x = 82,933,642.57
  5. Step 5: Solve for x
    x = 82,933,642.57/9,054.66
  6. Step 6: Final answer
    x = 9,159.22

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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.