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Finding the Fourth Proportional to 9,658.40, 13,325.96 and 5,678.08

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Solution

The fourth proportional to 9,658.40, 13,325.96 and 5,678.08 is: 7,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.40 : 13,325.96 = 5,678.08 : x
  2. Step 2: Convert to fraction form
    9,658.40/13,325.96 = 5,678.08/x
  3. Step 3: Cross multiply
    9,658.40x = 13,325.96 × 5,678.08
  4. Step 4: Simplify right side
    9,658.40x = 75,665,866.96
  5. Step 5: Solve for x
    x = 75,665,866.96/9,658.40
  6. Step 6: Final answer
    x = 7,834.20

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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.