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Finding the Fourth Proportional to 9,721.70, 14,582.55 and 9,295.10

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Solution

The fourth proportional to 9,721.70, 14,582.55 and 9,295.10 is: 13,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.70 : 14,582.55 = 9,295.10 : x
  2. Step 2: Convert to fraction form
    9,721.70/14,582.55 = 9,295.10/x
  3. Step 3: Cross multiply
    9,721.70x = 14,582.55 × 9,295.10
  4. Step 4: Simplify right side
    9,721.70x = 135,546,260.51
  5. Step 5: Solve for x
    x = 135,546,260.51/9,721.70
  6. Step 6: Final answer
    x = 13,942.65

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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.