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Finding the Fourth Proportional to 7,032.02, 9,704.64 and 4,047.80

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Solution

The fourth proportional to 7,032.02, 9,704.64 and 4,047.80 is: 5,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.02 : 9,704.64 = 4,047.80 : x
  2. Step 2: Convert to fraction form
    7,032.02/9,704.64 = 4,047.80/x
  3. Step 3: Cross multiply
    7,032.02x = 9,704.64 × 4,047.80
  4. Step 4: Simplify right side
    7,032.02x = 39,282,441.79
  5. Step 5: Solve for x
    x = 39,282,441.79/7,032.02
  6. Step 6: Final answer
    x = 5,586.22

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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.