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Finding the Fourth Proportional to 9,496.08, 14,184.90 and 7,035.70

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Solution

The fourth proportional to 9,496.08, 14,184.90 and 7,035.70 is: 10,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.08 : 14,184.90 = 7,035.70 : x
  2. Step 2: Convert to fraction form
    9,496.08/14,184.90 = 7,035.70/x
  3. Step 3: Cross multiply
    9,496.08x = 14,184.90 × 7,035.70
  4. Step 4: Simplify right side
    9,496.08x = 99,800,700.93
  5. Step 5: Solve for x
    x = 99,800,700.93/9,496.08
  6. Step 6: Final answer
    x = 10,509.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.