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Finding the Fourth Proportional to 9,688.84, 14,535.69 and 3,115.69

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Solution

The fourth proportional to 9,688.84, 14,535.69 and 3,115.69 is: 4,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.84 : 14,535.69 = 3,115.69 : x
  2. Step 2: Convert to fraction form
    9,688.84/14,535.69 = 3,115.69/x
  3. Step 3: Cross multiply
    9,688.84x = 14,535.69 × 3,115.69
  4. Step 4: Simplify right side
    9,688.84x = 45,288,703.98
  5. Step 5: Solve for x
    x = 45,288,703.98/9,688.84
  6. Step 6: Final answer
    x = 4,674.32

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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.