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Finding the Fourth Proportional to 10,448.87, 14,421.74 and 7,223.22

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Solution

The fourth proportional to 10,448.87, 14,421.74 and 7,223.22 is: 9,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.87 : 14,421.74 = 7,223.22 : x
  2. Step 2: Convert to fraction form
    10,448.87/14,421.74 = 7,223.22/x
  3. Step 3: Cross multiply
    10,448.87x = 14,421.74 × 7,223.22
  4. Step 4: Simplify right side
    10,448.87x = 104,171,364.69
  5. Step 5: Solve for x
    x = 104,171,364.69/10,448.87
  6. Step 6: Final answer
    x = 9,969.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.