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Finding the Fourth Proportional to 9,626, 14,444.76 and 4,154

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Solution

The fourth proportional to 9,626, 14,444.76 and 4,154 is: 6,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626 : 14,444.76 = 4,154 : x
  2. Step 2: Convert to fraction form
    9,626/14,444.76 = 4,154/x
  3. Step 3: Cross multiply
    9,626x = 14,444.76 × 4,154
  4. Step 4: Simplify right side
    9,626x = 60,003,533.04
  5. Step 5: Solve for x
    x = 60,003,533.04/9,626
  6. Step 6: Final answer
    x = 6,233.49

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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.