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Finding the Fourth Proportional to 9,902, 14,853.03 and 3,746

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Solution

The fourth proportional to 9,902, 14,853.03 and 3,746 is: 5,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902 : 14,853.03 = 3,746 : x
  2. Step 2: Convert to fraction form
    9,902/14,853.03 = 3,746/x
  3. Step 3: Cross multiply
    9,902x = 14,853.03 × 3,746
  4. Step 4: Simplify right side
    9,902x = 55,639,450.38
  5. Step 5: Solve for x
    x = 55,639,450.38/9,902
  6. Step 6: Final answer
    x = 5,619.01

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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.