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Finding the Fourth Proportional to 9,818.32, 14,723.16 and 3,658

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Solution

The fourth proportional to 9,818.32, 14,723.16 and 3,658 is: 5,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.32 : 14,723.16 = 3,658 : x
  2. Step 2: Convert to fraction form
    9,818.32/14,723.16 = 3,658/x
  3. Step 3: Cross multiply
    9,818.32x = 14,723.16 × 3,658
  4. Step 4: Simplify right side
    9,818.32x = 53,857,319.28
  5. Step 5: Solve for x
    x = 53,857,319.28/9,818.32
  6. Step 6: Final answer
    x = 5,485.39

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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.