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Finding the Fourth Proportional to 9,357.47, 14,035.67 and 5,658.69

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Solution

The fourth proportional to 9,357.47, 14,035.67 and 5,658.69 is: 8,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.47 : 14,035.67 = 5,658.69 : x
  2. Step 2: Convert to fraction form
    9,357.47/14,035.67 = 5,658.69/x
  3. Step 3: Cross multiply
    9,357.47x = 14,035.67 × 5,658.69
  4. Step 4: Simplify right side
    9,357.47x = 79,423,477.18
  5. Step 5: Solve for x
    x = 79,423,477.18/9,357.47
  6. Step 6: Final answer
    x = 8,487.71

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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.