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Finding the Fourth Proportional to 10,373.34, 15,559.94 and 6,214.53

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Solution

The fourth proportional to 10,373.34, 15,559.94 and 6,214.53 is: 9,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.34 : 15,559.94 = 6,214.53 : x
  2. Step 2: Convert to fraction form
    10,373.34/15,559.94 = 6,214.53/x
  3. Step 3: Cross multiply
    10,373.34x = 15,559.94 × 6,214.53
  4. Step 4: Simplify right side
    10,373.34x = 96,697,729.46
  5. Step 5: Solve for x
    x = 96,697,729.46/10,373.34
  6. Step 6: Final answer
    x = 9,321.75

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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.