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Finding the Fourth Proportional to 9,735.16, 14,604.56 and 4,541.04

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Solution

The fourth proportional to 9,735.16, 14,604.56 and 4,541.04 is: 6,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.16 : 14,604.56 = 4,541.04 : x
  2. Step 2: Convert to fraction form
    9,735.16/14,604.56 = 4,541.04/x
  3. Step 3: Cross multiply
    9,735.16x = 14,604.56 × 4,541.04
  4. Step 4: Simplify right side
    9,735.16x = 66,319,891.14
  5. Step 5: Solve for x
    x = 66,319,891.14/9,735.16
  6. Step 6: Final answer
    x = 6,812.41

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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.