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Finding the Fourth Proportional to 9,582.02, 14,368.17 and 4,383.44

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Solution

The fourth proportional to 9,582.02, 14,368.17 and 4,383.44 is: 6,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.02 : 14,368.17 = 4,383.44 : x
  2. Step 2: Convert to fraction form
    9,582.02/14,368.17 = 4,383.44/x
  3. Step 3: Cross multiply
    9,582.02x = 14,368.17 × 4,383.44
  4. Step 4: Simplify right side
    9,582.02x = 62,982,011.10
  5. Step 5: Solve for x
    x = 62,982,011.10/9,582.02
  6. Step 6: Final answer
    x = 6,572.94

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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.