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Finding the Fourth Proportional to 9,582.94, 14,370.46 and 3,662.01

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Solution

The fourth proportional to 9,582.94, 14,370.46 and 3,662.01 is: 5,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.94 : 14,370.46 = 3,662.01 : x
  2. Step 2: Convert to fraction form
    9,582.94/14,370.46 = 3,662.01/x
  3. Step 3: Cross multiply
    9,582.94x = 14,370.46 × 3,662.01
  4. Step 4: Simplify right side
    9,582.94x = 52,624,678.06
  5. Step 5: Solve for x
    x = 52,624,678.06/9,582.94
  6. Step 6: Final answer
    x = 5,491.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.