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Finding the Fourth Proportional to 9,818, 14,732.76 and 3,895.44

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Solution

The fourth proportional to 9,818, 14,732.76 and 3,895.44 is: 5,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818 : 14,732.76 = 3,895.44 : x
  2. Step 2: Convert to fraction form
    9,818/14,732.76 = 3,895.44/x
  3. Step 3: Cross multiply
    9,818x = 14,732.76 × 3,895.44
  4. Step 4: Simplify right side
    9,818x = 57,390,582.61
  5. Step 5: Solve for x
    x = 57,390,582.61/9,818
  6. Step 6: Final answer
    x = 5,845.45

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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.