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Finding the Fourth Proportional to 9,190.60, 12,683.13 and 5,158.32

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Solution

The fourth proportional to 9,190.60, 12,683.13 and 5,158.32 is: 7,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.60 : 12,683.13 = 5,158.32 : x
  2. Step 2: Convert to fraction form
    9,190.60/12,683.13 = 5,158.32/x
  3. Step 3: Cross multiply
    9,190.60x = 12,683.13 × 5,158.32
  4. Step 4: Simplify right side
    9,190.60x = 65,423,643.14
  5. Step 5: Solve for x
    x = 65,423,643.14/9,190.60
  6. Step 6: Final answer
    x = 7,118.54

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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.