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Finding the Fourth Proportional to 9,867.51, 14,786.64 and 5,478.93

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Solution

The fourth proportional to 9,867.51, 14,786.64 and 5,478.93 is: 8,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.51 : 14,786.64 = 5,478.93 : x
  2. Step 2: Convert to fraction form
    9,867.51/14,786.64 = 5,478.93/x
  3. Step 3: Cross multiply
    9,867.51x = 14,786.64 × 5,478.93
  4. Step 4: Simplify right side
    9,867.51x = 81,014,965.50
  5. Step 5: Solve for x
    x = 81,014,965.50/9,867.51
  6. Step 6: Final answer
    x = 8,210.27

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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.