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Finding the Fourth Proportional to 9,693.83, 13,377.60 and 5,714.70

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Solution

The fourth proportional to 9,693.83, 13,377.60 and 5,714.70 is: 7,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.83 : 13,377.60 = 5,714.70 : x
  2. Step 2: Convert to fraction form
    9,693.83/13,377.60 = 5,714.70/x
  3. Step 3: Cross multiply
    9,693.83x = 13,377.60 × 5,714.70
  4. Step 4: Simplify right side
    9,693.83x = 76,448,970.72
  5. Step 5: Solve for x
    x = 76,448,970.72/9,693.83
  6. Step 6: Final answer
    x = 7,886.36

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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.