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Finding the Fourth Proportional to 9,509.22, 14,239.17 and 6,556.77

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Solution

The fourth proportional to 9,509.22, 14,239.17 and 6,556.77 is: 9,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.22 : 14,239.17 = 6,556.77 : x
  2. Step 2: Convert to fraction form
    9,509.22/14,239.17 = 6,556.77/x
  3. Step 3: Cross multiply
    9,509.22x = 14,239.17 × 6,556.77
  4. Step 4: Simplify right side
    9,509.22x = 93,362,962.68
  5. Step 5: Solve for x
    x = 93,362,962.68/9,509.22
  6. Step 6: Final answer
    x = 9,818.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.