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Finding the Fourth Proportional to 7,113.81, 9,817.48 and 3,970.20

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Solution

The fourth proportional to 7,113.81, 9,817.48 and 3,970.20 is: 5,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.81 : 9,817.48 = 3,970.20 : x
  2. Step 2: Convert to fraction form
    7,113.81/9,817.48 = 3,970.20/x
  3. Step 3: Cross multiply
    7,113.81x = 9,817.48 × 3,970.20
  4. Step 4: Simplify right side
    7,113.81x = 38,977,300.08
  5. Step 5: Solve for x
    x = 38,977,300.08/7,113.81
  6. Step 6: Final answer
    x = 5,479.11

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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.