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Finding the Fourth Proportional to 9,894.32, 13,653.96 and 5,702

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Solution

The fourth proportional to 9,894.32, 13,653.96 and 5,702 is: 7,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.32 : 13,653.96 = 5,702 : x
  2. Step 2: Convert to fraction form
    9,894.32/13,653.96 = 5,702/x
  3. Step 3: Cross multiply
    9,894.32x = 13,653.96 × 5,702
  4. Step 4: Simplify right side
    9,894.32x = 77,854,879.92
  5. Step 5: Solve for x
    x = 77,854,879.92/9,894.32
  6. Step 6: Final answer
    x = 7,868.64

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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.