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Finding the Fourth Proportional to 9,461.70, 14,196.60 and 4,844.70

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Solution

The fourth proportional to 9,461.70, 14,196.60 and 4,844.70 is: 7,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.70 : 14,196.60 = 4,844.70 : x
  2. Step 2: Convert to fraction form
    9,461.70/14,196.60 = 4,844.70/x
  3. Step 3: Cross multiply
    9,461.70x = 14,196.60 × 4,844.70
  4. Step 4: Simplify right side
    9,461.70x = 68,778,268.02
  5. Step 5: Solve for x
    x = 68,778,268.02/9,461.70
  6. Step 6: Final answer
    x = 7,269.12

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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.