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Finding the Fourth Proportional to 9,770.13, 14,646.21 and 3,528.67

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Solution

The fourth proportional to 9,770.13, 14,646.21 and 3,528.67 is: 5,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.13 : 14,646.21 = 3,528.67 : x
  2. Step 2: Convert to fraction form
    9,770.13/14,646.21 = 3,528.67/x
  3. Step 3: Cross multiply
    9,770.13x = 14,646.21 × 3,528.67
  4. Step 4: Simplify right side
    9,770.13x = 51,681,641.84
  5. Step 5: Solve for x
    x = 51,681,641.84/9,770.13
  6. Step 6: Final answer
    x = 5,289.76

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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.