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Finding the Fourth Proportional to 9,735.66, 14,605.31 and 4,541.54

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Solution

The fourth proportional to 9,735.66, 14,605.31 and 4,541.54 is: 6,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.66 : 14,605.31 = 4,541.54 : x
  2. Step 2: Convert to fraction form
    9,735.66/14,605.31 = 4,541.54/x
  3. Step 3: Cross multiply
    9,735.66x = 14,605.31 × 4,541.54
  4. Step 4: Simplify right side
    9,735.66x = 66,330,503.84
  5. Step 5: Solve for x
    x = 66,330,503.84/9,735.66
  6. Step 6: Final answer
    x = 6,813.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.