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Finding the Fourth Proportional to 9,457.65, 14,195.22 and 4,780.95

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Solution

The fourth proportional to 9,457.65, 14,195.22 and 4,780.95 is: 7,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.65 : 14,195.22 = 4,780.95 : x
  2. Step 2: Convert to fraction form
    9,457.65/14,195.22 = 4,780.95/x
  3. Step 3: Cross multiply
    9,457.65x = 14,195.22 × 4,780.95
  4. Step 4: Simplify right side
    9,457.65x = 67,866,637.06
  5. Step 5: Solve for x
    x = 67,866,637.06/9,457.65
  6. Step 6: Final answer
    x = 7,175.85

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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.