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Finding the Fourth Proportional to 9,553.85, 14,328 and 4,007.04

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Solution

The fourth proportional to 9,553.85, 14,328 and 4,007.04 is: 6,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.85 : 14,328 = 4,007.04 : x
  2. Step 2: Convert to fraction form
    9,553.85/14,328 = 4,007.04/x
  3. Step 3: Cross multiply
    9,553.85x = 14,328 × 4,007.04
  4. Step 4: Simplify right side
    9,553.85x = 57,412,869.12
  5. Step 5: Solve for x
    x = 57,412,869.12/9,553.85
  6. Step 6: Final answer
    x = 6,009.40

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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.