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Finding the Fourth Proportional to 9,094.60, 13,624.80 and 5,187.16

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Solution

The fourth proportional to 9,094.60, 13,624.80 and 5,187.16 is: 7,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.60 : 13,624.80 = 5,187.16 : x
  2. Step 2: Convert to fraction form
    9,094.60/13,624.80 = 5,187.16/x
  3. Step 3: Cross multiply
    9,094.60x = 13,624.80 × 5,187.16
  4. Step 4: Simplify right side
    9,094.60x = 70,674,017.57
  5. Step 5: Solve for x
    x = 70,674,017.57/9,094.60
  6. Step 6: Final answer
    x = 7,770.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.