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Finding the Fourth Proportional to 9,391.48, 14,086.28 and 2,465.98

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Solution

The fourth proportional to 9,391.48, 14,086.28 and 2,465.98 is: 3,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.48 : 14,086.28 = 2,465.98 : x
  2. Step 2: Convert to fraction form
    9,391.48/14,086.28 = 2,465.98/x
  3. Step 3: Cross multiply
    9,391.48x = 14,086.28 × 2,465.98
  4. Step 4: Simplify right side
    9,391.48x = 34,736,484.75
  5. Step 5: Solve for x
    x = 34,736,484.75/9,391.48
  6. Step 6: Final answer
    x = 3,698.72

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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.