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Finding the Fourth Proportional to 9,504, 14,242.56 and 4,569.60

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Solution

The fourth proportional to 9,504, 14,242.56 and 4,569.60 is: 6,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504 : 14,242.56 = 4,569.60 : x
  2. Step 2: Convert to fraction form
    9,504/14,242.56 = 4,569.60/x
  3. Step 3: Cross multiply
    9,504x = 14,242.56 × 4,569.60
  4. Step 4: Simplify right side
    9,504x = 65,082,802.18
  5. Step 5: Solve for x
    x = 65,082,802.18/9,504
  6. Step 6: Final answer
    x = 6,847.94

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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.