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Finding the Fourth Proportional to 9,498.67, 13,112.28 and 6,529.82

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Solution

The fourth proportional to 9,498.67, 13,112.28 and 6,529.82 is: 9,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.67 : 13,112.28 = 6,529.82 : x
  2. Step 2: Convert to fraction form
    9,498.67/13,112.28 = 6,529.82/x
  3. Step 3: Cross multiply
    9,498.67x = 13,112.28 × 6,529.82
  4. Step 4: Simplify right side
    9,498.67x = 85,620,762.63
  5. Step 5: Solve for x
    x = 85,620,762.63/9,498.67
  6. Step 6: Final answer
    x = 9,013.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.