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Finding the Fourth Proportional to 10,310.22, 14,221.71 and 9,050.28

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Solution

The fourth proportional to 10,310.22, 14,221.71 and 9,050.28 is: 12,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.22 : 14,221.71 = 9,050.28 : x
  2. Step 2: Convert to fraction form
    10,310.22/14,221.71 = 9,050.28/x
  3. Step 3: Cross multiply
    10,310.22x = 14,221.71 × 9,050.28
  4. Step 4: Simplify right side
    10,310.22x = 128,710,457.58
  5. Step 5: Solve for x
    x = 128,710,457.58/10,310.22
  6. Step 6: Final answer
    x = 12,483.77

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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.