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Finding the Fourth Proportional to 9,457.53, 14,195.05 and 4,780.84

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Solution

The fourth proportional to 9,457.53, 14,195.05 and 4,780.84 is: 7,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.53 : 14,195.05 = 4,780.84 : x
  2. Step 2: Convert to fraction form
    9,457.53/14,195.05 = 4,780.84/x
  3. Step 3: Cross multiply
    9,457.53x = 14,195.05 × 4,780.84
  4. Step 4: Simplify right side
    9,457.53x = 67,864,262.84
  5. Step 5: Solve for x
    x = 67,864,262.84/9,457.53
  6. Step 6: Final answer
    x = 7,175.69

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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.