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Finding the Fourth Proportional to 9,349.36, 12,902.08 and 5,157.60

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Solution

The fourth proportional to 9,349.36, 12,902.08 and 5,157.60 is: 7,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.36 : 12,902.08 = 5,157.60 : x
  2. Step 2: Convert to fraction form
    9,349.36/12,902.08 = 5,157.60/x
  3. Step 3: Cross multiply
    9,349.36x = 12,902.08 × 5,157.60
  4. Step 4: Simplify right side
    9,349.36x = 66,543,767.81
  5. Step 5: Solve for x
    x = 66,543,767.81/9,349.36
  6. Step 6: Final answer
    x = 7,117.47

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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.