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Finding the Fourth Proportional to 9,728.44, 14,603.05 and 4,184.53

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Solution

The fourth proportional to 9,728.44, 14,603.05 and 4,184.53 is: 6,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.44 : 14,603.05 = 4,184.53 : x
  2. Step 2: Convert to fraction form
    9,728.44/14,603.05 = 4,184.53/x
  3. Step 3: Cross multiply
    9,728.44x = 14,603.05 × 4,184.53
  4. Step 4: Simplify right side
    9,728.44x = 61,106,869.54
  5. Step 5: Solve for x
    x = 61,106,869.54/9,728.44
  6. Step 6: Final answer
    x = 6,281.26

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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.