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Finding the Fourth Proportional to 10,714.19, 14,784.29 and 6,237.22

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Solution

The fourth proportional to 10,714.19, 14,784.29 and 6,237.22 is: 8,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.19 : 14,784.29 = 6,237.22 : x
  2. Step 2: Convert to fraction form
    10,714.19/14,784.29 = 6,237.22/x
  3. Step 3: Cross multiply
    10,714.19x = 14,784.29 × 6,237.22
  4. Step 4: Simplify right side
    10,714.19x = 92,212,773.41
  5. Step 5: Solve for x
    x = 92,212,773.41/10,714.19
  6. Step 6: Final answer
    x = 8,606.60

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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.