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Finding the Fourth Proportional to 9,715.70, 14,588.40 and 5,341.70

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Solution

The fourth proportional to 9,715.70, 14,588.40 and 5,341.70 is: 8,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.70 : 14,588.40 = 5,341.70 : x
  2. Step 2: Convert to fraction form
    9,715.70/14,588.40 = 5,341.70/x
  3. Step 3: Cross multiply
    9,715.70x = 14,588.40 × 5,341.70
  4. Step 4: Simplify right side
    9,715.70x = 77,926,856.28
  5. Step 5: Solve for x
    x = 77,926,856.28/9,715.70
  6. Step 6: Final answer
    x = 8,020.71

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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.