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Finding the Fourth Proportional to 6,569.25, 9,065.58 and 4,214.58

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Solution

The fourth proportional to 6,569.25, 9,065.58 and 4,214.58 is: 5,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.25 : 9,065.58 = 4,214.58 : x
  2. Step 2: Convert to fraction form
    6,569.25/9,065.58 = 4,214.58/x
  3. Step 3: Cross multiply
    6,569.25x = 9,065.58 × 4,214.58
  4. Step 4: Simplify right side
    6,569.25x = 38,207,612.16
  5. Step 5: Solve for x
    x = 38,207,612.16/6,569.25
  6. Step 6: Final answer
    x = 5,816.13

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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.