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Finding the Fourth Proportional to 9,156.39, 13,708.63 and 6,026.98

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Solution

The fourth proportional to 9,156.39, 13,708.63 and 6,026.98 is: 9,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.39 : 13,708.63 = 6,026.98 : x
  2. Step 2: Convert to fraction form
    9,156.39/13,708.63 = 6,026.98/x
  3. Step 3: Cross multiply
    9,156.39x = 13,708.63 × 6,026.98
  4. Step 4: Simplify right side
    9,156.39x = 82,621,638.84
  5. Step 5: Solve for x
    x = 82,621,638.84/9,156.39
  6. Step 6: Final answer
    x = 9,023.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.