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Finding the Fourth Proportional to 9,465.85, 13,063.85 and 5,690.24

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Solution

The fourth proportional to 9,465.85, 13,063.85 and 5,690.24 is: 7,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.85 : 13,063.85 = 5,690.24 : x
  2. Step 2: Convert to fraction form
    9,465.85/13,063.85 = 5,690.24/x
  3. Step 3: Cross multiply
    9,465.85x = 13,063.85 × 5,690.24
  4. Step 4: Simplify right side
    9,465.85x = 74,336,441.82
  5. Step 5: Solve for x
    x = 74,336,441.82/9,465.85
  6. Step 6: Final answer
    x = 7,853.12

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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.