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Finding the Fourth Proportional to 9,665.07, 14,495.67 and 4,731.63

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Solution

The fourth proportional to 9,665.07, 14,495.67 and 4,731.63 is: 7,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.07 : 14,495.67 = 4,731.63 : x
  2. Step 2: Convert to fraction form
    9,665.07/14,495.67 = 4,731.63/x
  3. Step 3: Cross multiply
    9,665.07x = 14,495.67 × 4,731.63
  4. Step 4: Simplify right side
    9,665.07x = 68,588,147.04
  5. Step 5: Solve for x
    x = 68,588,147.04/9,665.07
  6. Step 6: Final answer
    x = 7,096.50

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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.