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Finding the Fourth Proportional to 9,821.48, 13,558.48 and 7,693.34

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Solution

The fourth proportional to 9,821.48, 13,558.48 and 7,693.34 is: 10,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.48 : 13,558.48 = 7,693.34 : x
  2. Step 2: Convert to fraction form
    9,821.48/13,558.48 = 7,693.34/x
  3. Step 3: Cross multiply
    9,821.48x = 13,558.48 × 7,693.34
  4. Step 4: Simplify right side
    9,821.48x = 104,309,909.50
  5. Step 5: Solve for x
    x = 104,309,909.50/9,821.48
  6. Step 6: Final answer
    x = 10,620.60

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