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Finding the Fourth Proportional to 9,905.40, 14,859.45 and 3,663.90

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Solution

The fourth proportional to 9,905.40, 14,859.45 and 3,663.90 is: 5,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.40 : 14,859.45 = 3,663.90 : x
  2. Step 2: Convert to fraction form
    9,905.40/14,859.45 = 3,663.90/x
  3. Step 3: Cross multiply
    9,905.40x = 14,859.45 × 3,663.90
  4. Step 4: Simplify right side
    9,905.40x = 54,443,538.86
  5. Step 5: Solve for x
    x = 54,443,538.86/9,905.40
  6. Step 6: Final answer
    x = 5,496.35

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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.