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Finding the Fourth Proportional to 9,184.50, 13,779.51 and 6,521.22

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Solution

The fourth proportional to 9,184.50, 13,779.51 and 6,521.22 is: 9,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.50 : 13,779.51 = 6,521.22 : x
  2. Step 2: Convert to fraction form
    9,184.50/13,779.51 = 6,521.22/x
  3. Step 3: Cross multiply
    9,184.50x = 13,779.51 × 6,521.22
  4. Step 4: Simplify right side
    9,184.50x = 89,859,216.20
  5. Step 5: Solve for x
    x = 89,859,216.20/9,184.50
  6. Step 6: Final answer
    x = 9,783.79

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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.