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Finding the Fourth Proportional to 9,484.56, 14,202 and 6,188.40

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Solution

The fourth proportional to 9,484.56, 14,202 and 6,188.40 is: 9,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.56 : 14,202 = 6,188.40 : x
  2. Step 2: Convert to fraction form
    9,484.56/14,202 = 6,188.40/x
  3. Step 3: Cross multiply
    9,484.56x = 14,202 × 6,188.40
  4. Step 4: Simplify right side
    9,484.56x = 87,887,656.80
  5. Step 5: Solve for x
    x = 87,887,656.80/9,484.56
  6. Step 6: Final answer
    x = 9,266.39

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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.