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Finding the Fourth Proportional to 9,557.64, 14,339.02 and 8,643.72

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Solution

The fourth proportional to 9,557.64, 14,339.02 and 8,643.72 is: 12,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.64 : 14,339.02 = 8,643.72 : x
  2. Step 2: Convert to fraction form
    9,557.64/14,339.02 = 8,643.72/x
  3. Step 3: Cross multiply
    9,557.64x = 14,339.02 × 8,643.72
  4. Step 4: Simplify right side
    9,557.64x = 123,942,473.95
  5. Step 5: Solve for x
    x = 123,942,473.95/9,557.64
  6. Step 6: Final answer
    x = 12,967.90

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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.