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Finding the Fourth Proportional to 9,854.58, 14,786.21 and 5,173.51

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Solution

The fourth proportional to 9,854.58, 14,786.21 and 5,173.51 is: 7,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.58 : 14,786.21 = 5,173.51 : x
  2. Step 2: Convert to fraction form
    9,854.58/14,786.21 = 5,173.51/x
  3. Step 3: Cross multiply
    9,854.58x = 14,786.21 × 5,173.51
  4. Step 4: Simplify right side
    9,854.58x = 76,496,555.46
  5. Step 5: Solve for x
    x = 76,496,555.46/9,854.58
  6. Step 6: Final answer
    x = 7,762.53

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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.