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Finding the Fourth Proportional to 9,534.84, 14,308.94 and 6,420.79

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Solution

The fourth proportional to 9,534.84, 14,308.94 and 6,420.79 is: 9,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.84 : 14,308.94 = 6,420.79 : x
  2. Step 2: Convert to fraction form
    9,534.84/14,308.94 = 6,420.79/x
  3. Step 3: Cross multiply
    9,534.84x = 14,308.94 × 6,420.79
  4. Step 4: Simplify right side
    9,534.84x = 91,874,698.86
  5. Step 5: Solve for x
    x = 91,874,698.86/9,534.84
  6. Step 6: Final answer
    x = 9,635.68

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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.