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Finding the Fourth Proportional to 9,419.35, 14,119 and 4,478.55

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Solution

The fourth proportional to 9,419.35, 14,119 and 4,478.55 is: 6,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.35 : 14,119 = 4,478.55 : x
  2. Step 2: Convert to fraction form
    9,419.35/14,119 = 4,478.55/x
  3. Step 3: Cross multiply
    9,419.35x = 14,119 × 4,478.55
  4. Step 4: Simplify right side
    9,419.35x = 63,232,647.45
  5. Step 5: Solve for x
    x = 63,232,647.45/9,419.35
  6. Step 6: Final answer
    x = 6,713.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.