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Finding the Fourth Proportional to 9,639.30, 14,458.95 and 8,509.35

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Solution

The fourth proportional to 9,639.30, 14,458.95 and 8,509.35 is: 12,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.30 : 14,458.95 = 8,509.35 : x
  2. Step 2: Convert to fraction form
    9,639.30/14,458.95 = 8,509.35/x
  3. Step 3: Cross multiply
    9,639.30x = 14,458.95 × 8,509.35
  4. Step 4: Simplify right side
    9,639.30x = 123,036,266.18
  5. Step 5: Solve for x
    x = 123,036,266.18/9,639.30
  6. Step 6: Final answer
    x = 12,764.03

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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.