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Finding the Fourth Proportional to 9,295.52, 13,946.01 and 3,746.01

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Solution

The fourth proportional to 9,295.52, 13,946.01 and 3,746.01 is: 5,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.52 : 13,946.01 = 3,746.01 : x
  2. Step 2: Convert to fraction form
    9,295.52/13,946.01 = 3,746.01/x
  3. Step 3: Cross multiply
    9,295.52x = 13,946.01 × 3,746.01
  4. Step 4: Simplify right side
    9,295.52x = 52,241,858.06
  5. Step 5: Solve for x
    x = 52,241,858.06/9,295.52
  6. Step 6: Final answer
    x = 5,620.11

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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.