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Finding the Fourth Proportional to 10,435.92, 14,315.80 and 9,870.99

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Solution

The fourth proportional to 10,435.92, 14,315.80 and 9,870.99 is: 13,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.92 : 14,315.80 = 9,870.99 : x
  2. Step 2: Convert to fraction form
    10,435.92/14,315.80 = 9,870.99/x
  3. Step 3: Cross multiply
    10,435.92x = 14,315.80 × 9,870.99
  4. Step 4: Simplify right side
    10,435.92x = 141,311,093.96
  5. Step 5: Solve for x
    x = 141,311,093.96/10,435.92
  6. Step 6: Final answer
    x = 13,540.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.