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Finding the Fourth Proportional to 7,113.50, 9,816.62 and 4,129.46

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Solution

The fourth proportional to 7,113.50, 9,816.62 and 4,129.46 is: 5,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.50 : 9,816.62 = 4,129.46 : x
  2. Step 2: Convert to fraction form
    7,113.50/9,816.62 = 4,129.46/x
  3. Step 3: Cross multiply
    7,113.50x = 9,816.62 × 4,129.46
  4. Step 4: Simplify right side
    7,113.50x = 40,537,269.89
  5. Step 5: Solve for x
    x = 40,537,269.89/7,113.50
  6. Step 6: Final answer
    x = 5,698.64

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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.