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Finding the Fourth Proportional to 9,697.95, 13,384.91 and 5,718.83

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Solution

The fourth proportional to 9,697.95, 13,384.91 and 5,718.83 is: 7,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.95 : 13,384.91 = 5,718.83 : x
  2. Step 2: Convert to fraction form
    9,697.95/13,384.91 = 5,718.83/x
  3. Step 3: Cross multiply
    9,697.95x = 13,384.91 × 5,718.83
  4. Step 4: Simplify right side
    9,697.95x = 76,545,972.23
  5. Step 5: Solve for x
    x = 76,545,972.23/9,697.95
  6. Step 6: Final answer
    x = 7,893.01

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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.