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Finding the Fourth Proportional to 9,788.81, 13,508.57 and 5,312.56

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Solution

The fourth proportional to 9,788.81, 13,508.57 and 5,312.56 is: 7,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.81 : 13,508.57 = 5,312.56 : x
  2. Step 2: Convert to fraction form
    9,788.81/13,508.57 = 5,312.56/x
  3. Step 3: Cross multiply
    9,788.81x = 13,508.57 × 5,312.56
  4. Step 4: Simplify right side
    9,788.81x = 71,765,091.63
  5. Step 5: Solve for x
    x = 71,765,091.63/9,788.81
  6. Step 6: Final answer
    x = 7,331.34

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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.