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Finding the Fourth Proportional to 10,419.34, 15,635.08 and 6,267.28

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Solution

The fourth proportional to 10,419.34, 15,635.08 and 6,267.28 is: 9,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.34 : 15,635.08 = 6,267.28 : x
  2. Step 2: Convert to fraction form
    10,419.34/15,635.08 = 6,267.28/x
  3. Step 3: Cross multiply
    10,419.34x = 15,635.08 × 6,267.28
  4. Step 4: Simplify right side
    10,419.34x = 97,989,346.01
  5. Step 5: Solve for x
    x = 97,989,346.01/10,419.34
  6. Step 6: Final answer
    x = 9,404.57

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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.