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Finding the Fourth Proportional to 9,457.84, 14,176.90 and 5,291.74

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Solution

The fourth proportional to 9,457.84, 14,176.90 and 5,291.74 is: 7,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.84 : 14,176.90 = 5,291.74 : x
  2. Step 2: Convert to fraction form
    9,457.84/14,176.90 = 5,291.74/x
  3. Step 3: Cross multiply
    9,457.84x = 14,176.90 × 5,291.74
  4. Step 4: Simplify right side
    9,457.84x = 75,020,384.69
  5. Step 5: Solve for x
    x = 75,020,384.69/9,457.84
  6. Step 6: Final answer
    x = 7,932.09

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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.