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Finding the Fourth Proportional to 6,130.68, 9,196.25 and 1,970.62

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Solution

The fourth proportional to 6,130.68, 9,196.25 and 1,970.62 is: 2,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.68 : 9,196.25 = 1,970.62 : x
  2. Step 2: Convert to fraction form
    6,130.68/9,196.25 = 1,970.62/x
  3. Step 3: Cross multiply
    6,130.68x = 9,196.25 × 1,970.62
  4. Step 4: Simplify right side
    6,130.68x = 18,122,281.33
  5. Step 5: Solve for x
    x = 18,122,281.33/6,130.68
  6. Step 6: Final answer
    x = 2,956.00

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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.