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Finding the Fourth Proportional to 9,715.84, 13,407.60 and 5,525.44

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Solution

The fourth proportional to 9,715.84, 13,407.60 and 5,525.44 is: 7,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.84 : 13,407.60 = 5,525.44 : x
  2. Step 2: Convert to fraction form
    9,715.84/13,407.60 = 5,525.44/x
  3. Step 3: Cross multiply
    9,715.84x = 13,407.60 × 5,525.44
  4. Step 4: Simplify right side
    9,715.84x = 74,082,889.34
  5. Step 5: Solve for x
    x = 74,082,889.34/9,715.84
  6. Step 6: Final answer
    x = 7,624.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.