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Finding the Fourth Proportional to 9,834.40, 13,582.48 and 7,623

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Solution

The fourth proportional to 9,834.40, 13,582.48 and 7,623 is: 10,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.40 : 13,582.48 = 7,623 : x
  2. Step 2: Convert to fraction form
    9,834.40/13,582.48 = 7,623/x
  3. Step 3: Cross multiply
    9,834.40x = 13,582.48 × 7,623
  4. Step 4: Simplify right side
    9,834.40x = 103,539,245.04
  5. Step 5: Solve for x
    x = 103,539,245.04/9,834.40
  6. Step 6: Final answer
    x = 10,528.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.