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Finding the Fourth Proportional to 9,570.96, 14,370.01 and 5,419.10

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Solution

The fourth proportional to 9,570.96, 14,370.01 and 5,419.10 is: 8,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.96 : 14,370.01 = 5,419.10 : x
  2. Step 2: Convert to fraction form
    9,570.96/14,370.01 = 5,419.10/x
  3. Step 3: Cross multiply
    9,570.96x = 14,370.01 × 5,419.10
  4. Step 4: Simplify right side
    9,570.96x = 77,872,543.57
  5. Step 5: Solve for x
    x = 77,872,543.57/9,570.96
  6. Step 6: Final answer
    x = 8,136.34

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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.