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Finding the Fourth Proportional to 9,714.44, 13,411.51 and 6,532.36

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Solution

The fourth proportional to 9,714.44, 13,411.51 and 6,532.36 is: 9,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.44 : 13,411.51 = 6,532.36 : x
  2. Step 2: Convert to fraction form
    9,714.44/13,411.51 = 6,532.36/x
  3. Step 3: Cross multiply
    9,714.44x = 13,411.51 × 6,532.36
  4. Step 4: Simplify right side
    9,714.44x = 87,608,761.60
  5. Step 5: Solve for x
    x = 87,608,761.60/9,714.44
  6. Step 6: Final answer
    x = 9,018.40

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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.