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Finding the Fourth Proportional to 7,089.21, 9,783.18 and 3,902.87

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Solution

The fourth proportional to 7,089.21, 9,783.18 and 3,902.87 is: 5,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.21 : 9,783.18 = 3,902.87 : x
  2. Step 2: Convert to fraction form
    7,089.21/9,783.18 = 3,902.87/x
  3. Step 3: Cross multiply
    7,089.21x = 9,783.18 × 3,902.87
  4. Step 4: Simplify right side
    7,089.21x = 38,182,430.81
  5. Step 5: Solve for x
    x = 38,182,430.81/7,089.21
  6. Step 6: Final answer
    x = 5,385.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.