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Finding the Fourth Proportional to 9,495.72, 14,243.54 and 2,570.22

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Solution

The fourth proportional to 9,495.72, 14,243.54 and 2,570.22 is: 3,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.72 : 14,243.54 = 2,570.22 : x
  2. Step 2: Convert to fraction form
    9,495.72/14,243.54 = 2,570.22/x
  3. Step 3: Cross multiply
    9,495.72x = 14,243.54 × 2,570.22
  4. Step 4: Simplify right side
    9,495.72x = 36,609,018.53
  5. Step 5: Solve for x
    x = 36,609,018.53/9,495.72
  6. Step 6: Final answer
    x = 3,855.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.