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Finding the Fourth Proportional to 6,565.32, 9,847.98 and 4,378.32

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Solution

The fourth proportional to 6,565.32, 9,847.98 and 4,378.32 is: 6,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.32 : 9,847.98 = 4,378.32 : x
  2. Step 2: Convert to fraction form
    6,565.32/9,847.98 = 4,378.32/x
  3. Step 3: Cross multiply
    6,565.32x = 9,847.98 × 4,378.32
  4. Step 4: Simplify right side
    6,565.32x = 43,117,607.79
  5. Step 5: Solve for x
    x = 43,117,607.79/6,565.32
  6. Step 6: Final answer
    x = 6,567.48

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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.