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Finding the Fourth Proportional to 9,415.08, 12,994.53 and 5,436.54

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Solution

The fourth proportional to 9,415.08, 12,994.53 and 5,436.54 is: 7,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.08 : 12,994.53 = 5,436.54 : x
  2. Step 2: Convert to fraction form
    9,415.08/12,994.53 = 5,436.54/x
  3. Step 3: Cross multiply
    9,415.08x = 12,994.53 × 5,436.54
  4. Step 4: Simplify right side
    9,415.08x = 70,645,282.13
  5. Step 5: Solve for x
    x = 70,645,282.13/9,415.08
  6. Step 6: Final answer
    x = 7,503.42

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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.