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Finding the Fourth Proportional to 9,715.70, 14,572.74 and 5,817.26

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Solution

The fourth proportional to 9,715.70, 14,572.74 and 5,817.26 is: 8,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.70 : 14,572.74 = 5,817.26 : x
  2. Step 2: Convert to fraction form
    9,715.70/14,572.74 = 5,817.26/x
  3. Step 3: Cross multiply
    9,715.70x = 14,572.74 × 5,817.26
  4. Step 4: Simplify right side
    9,715.70x = 84,773,417.49
  5. Step 5: Solve for x
    x = 84,773,417.49/9,715.70
  6. Step 6: Final answer
    x = 8,725.41

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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.