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Finding the Fourth Proportional to 9,356.95, 14,028.40 and 5,658.42

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Solution

The fourth proportional to 9,356.95, 14,028.40 and 5,658.42 is: 8,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.95 : 14,028.40 = 5,658.42 : x
  2. Step 2: Convert to fraction form
    9,356.95/14,028.40 = 5,658.42/x
  3. Step 3: Cross multiply
    9,356.95x = 14,028.40 × 5,658.42
  4. Step 4: Simplify right side
    9,356.95x = 79,378,579.13
  5. Step 5: Solve for x
    x = 79,378,579.13/9,356.95
  6. Step 6: Final answer
    x = 8,483.38

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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.