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Finding the Fourth Proportional to 9,646.70, 14,470.01 and 6,335.84

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Solution

The fourth proportional to 9,646.70, 14,470.01 and 6,335.84 is: 9,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.70 : 14,470.01 = 6,335.84 : x
  2. Step 2: Convert to fraction form
    9,646.70/14,470.01 = 6,335.84/x
  3. Step 3: Cross multiply
    9,646.70x = 14,470.01 × 6,335.84
  4. Step 4: Simplify right side
    9,646.70x = 91,679,615.02
  5. Step 5: Solve for x
    x = 91,679,615.02/9,646.70
  6. Step 6: Final answer
    x = 9,503.73

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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.