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Finding the Fourth Proportional to 9,585.20, 14,384.28 and 3,429.20

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Solution

The fourth proportional to 9,585.20, 14,384.28 and 3,429.20 is: 5,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.20 : 14,384.28 = 3,429.20 : x
  2. Step 2: Convert to fraction form
    9,585.20/14,384.28 = 3,429.20/x
  3. Step 3: Cross multiply
    9,585.20x = 14,384.28 × 3,429.20
  4. Step 4: Simplify right side
    9,585.20x = 49,326,501.05
  5. Step 5: Solve for x
    x = 49,326,501.05/9,585.20
  6. Step 6: Final answer
    x = 5,146.11

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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.