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Finding the Fourth Proportional to 9,804.21, 14,707.95 and 4,544.49

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Solution

The fourth proportional to 9,804.21, 14,707.95 and 4,544.49 is: 6,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.21 : 14,707.95 = 4,544.49 : x
  2. Step 2: Convert to fraction form
    9,804.21/14,707.95 = 4,544.49/x
  3. Step 3: Cross multiply
    9,804.21x = 14,707.95 × 4,544.49
  4. Step 4: Simplify right side
    9,804.21x = 66,840,131.70
  5. Step 5: Solve for x
    x = 66,840,131.70/9,804.21
  6. Step 6: Final answer
    x = 6,817.49

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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.