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Finding the Fourth Proportional to 9,788.00, 13,518.65 and 6,445.75

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Solution

The fourth proportional to 9,788.00, 13,518.65 and 6,445.75 is: 8,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.00 : 13,518.65 = 6,445.75 : x
  2. Step 2: Convert to fraction form
    9,788.00/13,518.65 = 6,445.75/x
  3. Step 3: Cross multiply
    9,788.00x = 13,518.65 × 6,445.75
  4. Step 4: Simplify right side
    9,788.00x = 87,137,871.25
  5. Step 5: Solve for x
    x = 87,137,871.25/9,788.00
  6. Step 6: Final answer
    x = 8,902.52

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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.