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Finding the Fourth Proportional to 9,602.15, 14,402.00 and 3,026.57

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Solution

The fourth proportional to 9,602.15, 14,402.00 and 3,026.57 is: 4,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.15 : 14,402.00 = 3,026.57 : x
  2. Step 2: Convert to fraction form
    9,602.15/14,402.00 = 3,026.57/x
  3. Step 3: Cross multiply
    9,602.15x = 14,402.00 × 3,026.57
  4. Step 4: Simplify right side
    9,602.15x = 43,588,596.70
  5. Step 5: Solve for x
    x = 43,588,596.70/9,602.15
  6. Step 6: Final answer
    x = 4,539.46

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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.