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Finding the Fourth Proportional to 10,301.84, 14,211.06 and 6,269.90

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Solution

The fourth proportional to 10,301.84, 14,211.06 and 6,269.90 is: 8,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.84 : 14,211.06 = 6,269.90 : x
  2. Step 2: Convert to fraction form
    10,301.84/14,211.06 = 6,269.90/x
  3. Step 3: Cross multiply
    10,301.84x = 14,211.06 × 6,269.90
  4. Step 4: Simplify right side
    10,301.84x = 89,101,925.09
  5. Step 5: Solve for x
    x = 89,101,925.09/10,301.84
  6. Step 6: Final answer
    x = 8,649.13

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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.