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Finding the Fourth Proportional to 9,870.44, 14,808.38 and 5,490.96

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Solution

The fourth proportional to 9,870.44, 14,808.38 and 5,490.96 is: 8,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.44 : 14,808.38 = 5,490.96 : x
  2. Step 2: Convert to fraction form
    9,870.44/14,808.38 = 5,490.96/x
  3. Step 3: Cross multiply
    9,870.44x = 14,808.38 × 5,490.96
  4. Step 4: Simplify right side
    9,870.44x = 81,312,194.79
  5. Step 5: Solve for x
    x = 81,312,194.79/9,870.44
  6. Step 6: Final answer
    x = 8,237.95

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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.