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Finding the Fourth Proportional to 9,069.59, 13,602.85 and 4,138.07

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Solution

The fourth proportional to 9,069.59, 13,602.85 and 4,138.07 is: 6,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.59 : 13,602.85 = 4,138.07 : x
  2. Step 2: Convert to fraction form
    9,069.59/13,602.85 = 4,138.07/x
  3. Step 3: Cross multiply
    9,069.59x = 13,602.85 × 4,138.07
  4. Step 4: Simplify right side
    9,069.59x = 56,289,524.81
  5. Step 5: Solve for x
    x = 56,289,524.81/9,069.59
  6. Step 6: Final answer
    x = 6,206.40

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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.