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Finding the Fourth Proportional to 10,214.86, 14,101.88 and 6,875.22

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Solution

The fourth proportional to 10,214.86, 14,101.88 and 6,875.22 is: 9,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.86 : 14,101.88 = 6,875.22 : x
  2. Step 2: Convert to fraction form
    10,214.86/14,101.88 = 6,875.22/x
  3. Step 3: Cross multiply
    10,214.86x = 14,101.88 × 6,875.22
  4. Step 4: Simplify right side
    10,214.86x = 96,953,527.41
  5. Step 5: Solve for x
    x = 96,953,527.41/10,214.86
  6. Step 6: Final answer
    x = 9,491.42

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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.