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Finding the Fourth Proportional to 9,838.56, 13,671.21 and 9,714.36

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Solution

The fourth proportional to 9,838.56, 13,671.21 and 9,714.36 is: 13,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.56 : 13,671.21 = 9,714.36 : x
  2. Step 2: Convert to fraction form
    9,838.56/13,671.21 = 9,714.36/x
  3. Step 3: Cross multiply
    9,838.56x = 13,671.21 × 9,714.36
  4. Step 4: Simplify right side
    9,838.56x = 132,807,055.58
  5. Step 5: Solve for x
    x = 132,807,055.58/9,838.56
  6. Step 6: Final answer
    x = 13,498.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.