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Finding the Fourth Proportional to 10,441.32, 15,668.22 and 9,784.68

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Solution

The fourth proportional to 10,441.32, 15,668.22 and 9,784.68 is: 14,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.32 : 15,668.22 = 9,784.68 : x
  2. Step 2: Convert to fraction form
    10,441.32/15,668.22 = 9,784.68/x
  3. Step 3: Cross multiply
    10,441.32x = 15,668.22 × 9,784.68
  4. Step 4: Simplify right side
    10,441.32x = 153,308,518.87
  5. Step 5: Solve for x
    x = 153,308,518.87/10,441.32
  6. Step 6: Final answer
    x = 14,682.87

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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.