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Finding the Fourth Proportional to 9,349.64, 12,902.26 and 5,157.80

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Solution

The fourth proportional to 9,349.64, 12,902.26 and 5,157.80 is: 7,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.64 : 12,902.26 = 5,157.80 : x
  2. Step 2: Convert to fraction form
    9,349.64/12,902.26 = 5,157.80/x
  3. Step 3: Cross multiply
    9,349.64x = 12,902.26 × 5,157.80
  4. Step 4: Simplify right side
    9,349.64x = 66,547,276.63
  5. Step 5: Solve for x
    x = 66,547,276.63/9,349.64
  6. Step 6: Final answer
    x = 7,117.63

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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.