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Finding the Fourth Proportional to 9,907.69, 14,851.06 and 3,663.69

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Solution

The fourth proportional to 9,907.69, 14,851.06 and 3,663.69 is: 5,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.69 : 14,851.06 = 3,663.69 : x
  2. Step 2: Convert to fraction form
    9,907.69/14,851.06 = 3,663.69/x
  3. Step 3: Cross multiply
    9,907.69x = 14,851.06 × 3,663.69
  4. Step 4: Simplify right side
    9,907.69x = 54,409,680.01
  5. Step 5: Solve for x
    x = 54,409,680.01/9,907.69
  6. Step 6: Final answer
    x = 5,491.66

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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.