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Finding the Fourth Proportional to 9,554.60, 14,323.73 and 3,628.17

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Solution

The fourth proportional to 9,554.60, 14,323.73 and 3,628.17 is: 5,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.60 : 14,323.73 = 3,628.17 : x
  2. Step 2: Convert to fraction form
    9,554.60/14,323.73 = 3,628.17/x
  3. Step 3: Cross multiply
    9,554.60x = 14,323.73 × 3,628.17
  4. Step 4: Simplify right side
    9,554.60x = 51,968,927.47
  5. Step 5: Solve for x
    x = 51,968,927.47/9,554.60
  6. Step 6: Final answer
    x = 5,439.15

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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.