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Finding the Fourth Proportional to 9,788.34, 13,494.69 and 6,639.06

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Solution

The fourth proportional to 9,788.34, 13,494.69 and 6,639.06 is: 9,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.34 : 13,494.69 = 6,639.06 : x
  2. Step 2: Convert to fraction form
    9,788.34/13,494.69 = 6,639.06/x
  3. Step 3: Cross multiply
    9,788.34x = 13,494.69 × 6,639.06
  4. Step 4: Simplify right side
    9,788.34x = 89,592,056.59
  5. Step 5: Solve for x
    x = 89,592,056.59/9,788.34
  6. Step 6: Final answer
    x = 9,152.94

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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.