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Finding the Fourth Proportional to 9,072.76, 12,520.80 and 5,714.30

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Solution

The fourth proportional to 9,072.76, 12,520.80 and 5,714.30 is: 7,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.76 : 12,520.80 = 5,714.30 : x
  2. Step 2: Convert to fraction form
    9,072.76/12,520.80 = 5,714.30/x
  3. Step 3: Cross multiply
    9,072.76x = 12,520.80 × 5,714.30
  4. Step 4: Simplify right side
    9,072.76x = 71,547,607.44
  5. Step 5: Solve for x
    x = 71,547,607.44/9,072.76
  6. Step 6: Final answer
    x = 7,885.98

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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.