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Finding the Fourth Proportional to 9,308.42, 12,845.37 and 5,116.10

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Solution

The fourth proportional to 9,308.42, 12,845.37 and 5,116.10 is: 7,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.42 : 12,845.37 = 5,116.10 : x
  2. Step 2: Convert to fraction form
    9,308.42/12,845.37 = 5,116.10/x
  3. Step 3: Cross multiply
    9,308.42x = 12,845.37 × 5,116.10
  4. Step 4: Simplify right side
    9,308.42x = 65,718,197.46
  5. Step 5: Solve for x
    x = 65,718,197.46/9,308.42
  6. Step 6: Final answer
    x = 7,060.08

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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.