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Finding the Fourth Proportional to 9,702.32, 14,559.84 and 5,322.84

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Solution

The fourth proportional to 9,702.32, 14,559.84 and 5,322.84 is: 7,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.32 : 14,559.84 = 5,322.84 : x
  2. Step 2: Convert to fraction form
    9,702.32/14,559.84 = 5,322.84/x
  3. Step 3: Cross multiply
    9,702.32x = 14,559.84 × 5,322.84
  4. Step 4: Simplify right side
    9,702.32x = 77,499,698.75
  5. Step 5: Solve for x
    x = 77,499,698.75/9,702.32
  6. Step 6: Final answer
    x = 7,987.75

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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.