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Finding the Fourth Proportional to 9,655.91, 13,325.39 and 5,406.93

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Solution

The fourth proportional to 9,655.91, 13,325.39 and 5,406.93 is: 7,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.91 : 13,325.39 = 5,406.93 : x
  2. Step 2: Convert to fraction form
    9,655.91/13,325.39 = 5,406.93/x
  3. Step 3: Cross multiply
    9,655.91x = 13,325.39 × 5,406.93
  4. Step 4: Simplify right side
    9,655.91x = 72,049,423.92
  5. Step 5: Solve for x
    x = 72,049,423.92/9,655.91
  6. Step 6: Final answer
    x = 7,461.70

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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.