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Finding the Fourth Proportional to 9,416.43, 12,994.62 and 5,437.89

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Solution

The fourth proportional to 9,416.43, 12,994.62 and 5,437.89 is: 7,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.43 : 12,994.62 = 5,437.89 : x
  2. Step 2: Convert to fraction form
    9,416.43/12,994.62 = 5,437.89/x
  3. Step 3: Cross multiply
    9,416.43x = 12,994.62 × 5,437.89
  4. Step 4: Simplify right side
    9,416.43x = 70,663,314.15
  5. Step 5: Solve for x
    x = 70,663,314.15/9,416.43
  6. Step 6: Final answer
    x = 7,504.26

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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.