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Finding the Fourth Proportional to 9,416.56, 12,994.68 and 5,224.72

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Solution

The fourth proportional to 9,416.56, 12,994.68 and 5,224.72 is: 7,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.56 : 12,994.68 = 5,224.72 : x
  2. Step 2: Convert to fraction form
    9,416.56/12,994.68 = 5,224.72/x
  3. Step 3: Cross multiply
    9,416.56x = 12,994.68 × 5,224.72
  4. Step 4: Simplify right side
    9,416.56x = 67,893,564.49
  5. Step 5: Solve for x
    x = 67,893,564.49/9,416.56
  6. Step 6: Final answer
    x = 7,210.02

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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.