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Finding the Fourth Proportional to 9,639.04, 14,458.68 and 3,065.20

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Solution

The fourth proportional to 9,639.04, 14,458.68 and 3,065.20 is: 4,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.04 : 14,458.68 = 3,065.20 : x
  2. Step 2: Convert to fraction form
    9,639.04/14,458.68 = 3,065.20/x
  3. Step 3: Cross multiply
    9,639.04x = 14,458.68 × 3,065.20
  4. Step 4: Simplify right side
    9,639.04x = 44,318,745.94
  5. Step 5: Solve for x
    x = 44,318,745.94/9,639.04
  6. Step 6: Final answer
    x = 4,597.84

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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.