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Finding the Fourth Proportional to 6,585.09, 9,854.54 and 5,400.47

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Solution

The fourth proportional to 6,585.09, 9,854.54 and 5,400.47 is: 8,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.09 : 9,854.54 = 5,400.47 : x
  2. Step 2: Convert to fraction form
    6,585.09/9,854.54 = 5,400.47/x
  3. Step 3: Cross multiply
    6,585.09x = 9,854.54 × 5,400.47
  4. Step 4: Simplify right side
    6,585.09x = 53,219,071.36
  5. Step 5: Solve for x
    x = 53,219,071.36/6,585.09
  6. Step 6: Final answer
    x = 8,081.75

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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.