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Finding the Fourth Proportional to 9,642.50, 14,461.59 and 4,709.78

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Solution

The fourth proportional to 9,642.50, 14,461.59 and 4,709.78 is: 7,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.50 : 14,461.59 = 4,709.78 : x
  2. Step 2: Convert to fraction form
    9,642.50/14,461.59 = 4,709.78/x
  3. Step 3: Cross multiply
    9,642.50x = 14,461.59 × 4,709.78
  4. Step 4: Simplify right side
    9,642.50x = 68,110,907.35
  5. Step 5: Solve for x
    x = 68,110,907.35/9,642.50
  6. Step 6: Final answer
    x = 7,063.61

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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.