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Finding the Fourth Proportional to 9,808.58, 13,532.73 and 6,084.74

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Solution

The fourth proportional to 9,808.58, 13,532.73 and 6,084.74 is: 8,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.58 : 13,532.73 = 6,084.74 : x
  2. Step 2: Convert to fraction form
    9,808.58/13,532.73 = 6,084.74/x
  3. Step 3: Cross multiply
    9,808.58x = 13,532.73 × 6,084.74
  4. Step 4: Simplify right side
    9,808.58x = 82,343,143.54
  5. Step 5: Solve for x
    x = 82,343,143.54/9,808.58
  6. Step 6: Final answer
    x = 8,395.01

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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.