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Finding the Fourth Proportional to 9,663.64, 14,498.35 and 5,556.76

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Solution

The fourth proportional to 9,663.64, 14,498.35 and 5,556.76 is: 8,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.64 : 14,498.35 = 5,556.76 : x
  2. Step 2: Convert to fraction form
    9,663.64/14,498.35 = 5,556.76/x
  3. Step 3: Cross multiply
    9,663.64x = 14,498.35 × 5,556.76
  4. Step 4: Simplify right side
    9,663.64x = 80,563,851.35
  5. Step 5: Solve for x
    x = 80,563,851.35/9,663.64
  6. Step 6: Final answer
    x = 8,336.80

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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.