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Finding the Fourth Proportional to 9,583.32, 13,225.50 and 6,444.12

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Solution

The fourth proportional to 9,583.32, 13,225.50 and 6,444.12 is: 8,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.32 : 13,225.50 = 6,444.12 : x
  2. Step 2: Convert to fraction form
    9,583.32/13,225.50 = 6,444.12/x
  3. Step 3: Cross multiply
    9,583.32x = 13,225.50 × 6,444.12
  4. Step 4: Simplify right side
    9,583.32x = 85,226,709.06
  5. Step 5: Solve for x
    x = 85,226,709.06/9,583.32
  6. Step 6: Final answer
    x = 8,893.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.