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Finding the Fourth Proportional to 9,623.52, 14,445 and 6,853.32

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Solution

The fourth proportional to 9,623.52, 14,445 and 6,853.32 is: 10,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.52 : 14,445 = 6,853.32 : x
  2. Step 2: Convert to fraction form
    9,623.52/14,445 = 6,853.32/x
  3. Step 3: Cross multiply
    9,623.52x = 14,445 × 6,853.32
  4. Step 4: Simplify right side
    9,623.52x = 98,996,207.40
  5. Step 5: Solve for x
    x = 98,996,207.40/9,623.52
  6. Step 6: Final answer
    x = 10,286.90

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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.