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Finding the Fourth Proportional to 9,530.01, 14,295.02 and 3,980.33

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Solution

The fourth proportional to 9,530.01, 14,295.02 and 3,980.33 is: 5,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.01 : 14,295.02 = 3,980.33 : x
  2. Step 2: Convert to fraction form
    9,530.01/14,295.02 = 3,980.33/x
  3. Step 3: Cross multiply
    9,530.01x = 14,295.02 × 3,980.33
  4. Step 4: Simplify right side
    9,530.01x = 56,898,896.96
  5. Step 5: Solve for x
    x = 56,898,896.96/9,530.01
  6. Step 6: Final answer
    x = 5,970.50

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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.