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Finding the Fourth Proportional to 9,416.40, 12,994.64 and 5,224.66

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Solution

The fourth proportional to 9,416.40, 12,994.64 and 5,224.66 is: 7,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.40 : 12,994.64 = 5,224.66 : x
  2. Step 2: Convert to fraction form
    9,416.40/12,994.64 = 5,224.66/x
  3. Step 3: Cross multiply
    9,416.40x = 12,994.64 × 5,224.66
  4. Step 4: Simplify right side
    9,416.40x = 67,892,575.82
  5. Step 5: Solve for x
    x = 67,892,575.82/9,416.40
  6. Step 6: Final answer
    x = 7,210.04

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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.