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Finding the Fourth Proportional to 9,714.10, 14,578.35 and 7,122.10

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Solution

The fourth proportional to 9,714.10, 14,578.35 and 7,122.10 is: 10,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.10 : 14,578.35 = 7,122.10 : x
  2. Step 2: Convert to fraction form
    9,714.10/14,578.35 = 7,122.10/x
  3. Step 3: Cross multiply
    9,714.10x = 14,578.35 × 7,122.10
  4. Step 4: Simplify right side
    9,714.10x = 103,828,466.54
  5. Step 5: Solve for x
    x = 103,828,466.54/9,714.10
  6. Step 6: Final answer
    x = 10,688.43

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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.