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Finding the Fourth Proportional to 9,591.36, 14,356.36 and 5,137.93

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Solution

The fourth proportional to 9,591.36, 14,356.36 and 5,137.93 is: 7,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.36 : 14,356.36 = 5,137.93 : x
  2. Step 2: Convert to fraction form
    9,591.36/14,356.36 = 5,137.93/x
  3. Step 3: Cross multiply
    9,591.36x = 14,356.36 × 5,137.93
  4. Step 4: Simplify right side
    9,591.36x = 73,762,011.55
  5. Step 5: Solve for x
    x = 73,762,011.55/9,591.36
  6. Step 6: Final answer
    x = 7,690.46

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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.