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Finding the Fourth Proportional to 6,570.72, 9,065.52 and 4,214.16

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Solution

The fourth proportional to 6,570.72, 9,065.52 and 4,214.16 is: 5,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.72 : 9,065.52 = 4,214.16 : x
  2. Step 2: Convert to fraction form
    6,570.72/9,065.52 = 4,214.16/x
  3. Step 3: Cross multiply
    6,570.72x = 9,065.52 × 4,214.16
  4. Step 4: Simplify right side
    6,570.72x = 38,203,551.76
  5. Step 5: Solve for x
    x = 38,203,551.76/6,570.72
  6. Step 6: Final answer
    x = 5,814.21

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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.