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Finding the Fourth Proportional to 7,038.20, 9,695.80 and 5,919.16

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Solution

The fourth proportional to 7,038.20, 9,695.80 and 5,919.16 is: 8,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.20 : 9,695.80 = 5,919.16 : x
  2. Step 2: Convert to fraction form
    7,038.20/9,695.80 = 5,919.16/x
  3. Step 3: Cross multiply
    7,038.20x = 9,695.80 × 5,919.16
  4. Step 4: Simplify right side
    7,038.20x = 57,390,991.53
  5. Step 5: Solve for x
    x = 57,390,991.53/7,038.20
  6. Step 6: Final answer
    x = 8,154.21

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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.