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Finding the Fourth Proportional to 9,663.63, 14,495.22 and 3,089.87

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Solution

The fourth proportional to 9,663.63, 14,495.22 and 3,089.87 is: 4,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.63 : 14,495.22 = 3,089.87 : x
  2. Step 2: Convert to fraction form
    9,663.63/14,495.22 = 3,089.87/x
  3. Step 3: Cross multiply
    9,663.63x = 14,495.22 × 3,089.87
  4. Step 4: Simplify right side
    9,663.63x = 44,788,370.07
  5. Step 5: Solve for x
    x = 44,788,370.07/9,663.63
  6. Step 6: Final answer
    x = 4,634.74

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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.