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Finding the Fourth Proportional to 9,416.02, 12,994.07 and 5,167.15

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Solution

The fourth proportional to 9,416.02, 12,994.07 and 5,167.15 is: 7,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.02 : 12,994.07 = 5,167.15 : x
  2. Step 2: Convert to fraction form
    9,416.02/12,994.07 = 5,167.15/x
  3. Step 3: Cross multiply
    9,416.02x = 12,994.07 × 5,167.15
  4. Step 4: Simplify right side
    9,416.02x = 67,142,250.48
  5. Step 5: Solve for x
    x = 67,142,250.48/9,416.02
  6. Step 6: Final answer
    x = 7,130.64

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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.