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Finding the Fourth Proportional to 9,788.58, 13,508.37 and 5,312.39

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Solution

The fourth proportional to 9,788.58, 13,508.37 and 5,312.39 is: 7,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.58 : 13,508.37 = 5,312.39 : x
  2. Step 2: Convert to fraction form
    9,788.58/13,508.37 = 5,312.39/x
  3. Step 3: Cross multiply
    9,788.58x = 13,508.37 × 5,312.39
  4. Step 4: Simplify right side
    9,788.58x = 71,761,662.16
  5. Step 5: Solve for x
    x = 71,761,662.16/9,788.58
  6. Step 6: Final answer
    x = 7,331.16

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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.