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Finding the Fourth Proportional to 6,569.36, 9,065.55 and 3,585.32

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Solution

The fourth proportional to 6,569.36, 9,065.55 and 3,585.32 is: 4,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.36 : 9,065.55 = 3,585.32 : x
  2. Step 2: Convert to fraction form
    6,569.36/9,065.55 = 3,585.32/x
  3. Step 3: Cross multiply
    6,569.36x = 9,065.55 × 3,585.32
  4. Step 4: Simplify right side
    6,569.36x = 32,502,852.40
  5. Step 5: Solve for x
    x = 32,502,852.40/6,569.36
  6. Step 6: Final answer
    x = 4,947.65

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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.