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Finding the Fourth Proportional to 9,774.32, 14,633.51 and 6,480.86

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Solution

The fourth proportional to 9,774.32, 14,633.51 and 6,480.86 is: 9,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.32 : 14,633.51 = 6,480.86 : x
  2. Step 2: Convert to fraction form
    9,774.32/14,633.51 = 6,480.86/x
  3. Step 3: Cross multiply
    9,774.32x = 14,633.51 × 6,480.86
  4. Step 4: Simplify right side
    9,774.32x = 94,837,624.05
  5. Step 5: Solve for x
    x = 94,837,624.05/9,774.32
  6. Step 6: Final answer
    x = 9,702.74

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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.