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Finding the Fourth Proportional to 9,051.98, 13,580.10 and 2,811.67

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Solution

The fourth proportional to 9,051.98, 13,580.10 and 2,811.67 is: 4,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.98 : 13,580.10 = 2,811.67 : x
  2. Step 2: Convert to fraction form
    9,051.98/13,580.10 = 2,811.67/x
  3. Step 3: Cross multiply
    9,051.98x = 13,580.10 × 2,811.67
  4. Step 4: Simplify right side
    9,051.98x = 38,182,745.71
  5. Step 5: Solve for x
    x = 38,182,745.71/9,051.98
  6. Step 6: Final answer
    x = 4,218.17

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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.