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Finding the Fourth Proportional to 30,877.15, 46,319.64 and 9,809.67

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Solution

The fourth proportional to 30,877.15, 46,319.64 and 9,809.67 is: 14,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.15 : 46,319.64 = 9,809.67 : x
  2. Step 2: Convert to fraction form
    30,877.15/46,319.64 = 9,809.67/x
  3. Step 3: Cross multiply
    30,877.15x = 46,319.64 × 9,809.67
  4. Step 4: Simplify right side
    30,877.15x = 454,380,382.92
  5. Step 5: Solve for x
    x = 454,380,382.92/30,877.15
  6. Step 6: Final answer
    x = 14,715.75

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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.