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Finding the Fourth Proportional to 9,916.59, 13,675.83 and 6,562.80

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Solution

The fourth proportional to 9,916.59, 13,675.83 and 6,562.80 is: 9,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.59 : 13,675.83 = 6,562.80 : x
  2. Step 2: Convert to fraction form
    9,916.59/13,675.83 = 6,562.80/x
  3. Step 3: Cross multiply
    9,916.59x = 13,675.83 × 6,562.80
  4. Step 4: Simplify right side
    9,916.59x = 89,751,737.12
  5. Step 5: Solve for x
    x = 89,751,737.12/9,916.59
  6. Step 6: Final answer
    x = 9,050.67

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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.