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Finding the Fourth Proportional to 9,852.81, 14,783.28 and 5,465.04

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Solution

The fourth proportional to 9,852.81, 14,783.28 and 5,465.04 is: 8,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.81 : 14,783.28 = 5,465.04 : x
  2. Step 2: Convert to fraction form
    9,852.81/14,783.28 = 5,465.04/x
  3. Step 3: Cross multiply
    9,852.81x = 14,783.28 × 5,465.04
  4. Step 4: Simplify right side
    9,852.81x = 80,791,216.53
  5. Step 5: Solve for x
    x = 80,791,216.53/9,852.81
  6. Step 6: Final answer
    x = 8,199.81

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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.