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Finding the Fourth Proportional to 9,358.20, 14,030.28 and 5,659.68

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Solution

The fourth proportional to 9,358.20, 14,030.28 and 5,659.68 is: 8,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.20 : 14,030.28 = 5,659.68 : x
  2. Step 2: Convert to fraction form
    9,358.20/14,030.28 = 5,659.68/x
  3. Step 3: Cross multiply
    9,358.20x = 14,030.28 × 5,659.68
  4. Step 4: Simplify right side
    9,358.20x = 79,406,895.11
  5. Step 5: Solve for x
    x = 79,406,895.11/9,358.20
  6. Step 6: Final answer
    x = 8,485.27

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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.