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Finding the Fourth Proportional to 7,113.62, 9,813.74 and 4,280.24

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Solution

The fourth proportional to 7,113.62, 9,813.74 and 4,280.24 is: 5,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.62 : 9,813.74 = 4,280.24 : x
  2. Step 2: Convert to fraction form
    7,113.62/9,813.74 = 4,280.24/x
  3. Step 3: Cross multiply
    7,113.62x = 9,813.74 × 4,280.24
  4. Step 4: Simplify right side
    7,113.62x = 42,005,162.50
  5. Step 5: Solve for x
    x = 42,005,162.50/7,113.62
  6. Step 6: Final answer
    x = 5,904.89

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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.