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Finding the Fourth Proportional to 9,775.06, 13,491.93 and 5,585.74

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Solution

The fourth proportional to 9,775.06, 13,491.93 and 5,585.74 is: 7,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.06 : 13,491.93 = 5,585.74 : x
  2. Step 2: Convert to fraction form
    9,775.06/13,491.93 = 5,585.74/x
  3. Step 3: Cross multiply
    9,775.06x = 13,491.93 × 5,585.74
  4. Step 4: Simplify right side
    9,775.06x = 75,362,413.08
  5. Step 5: Solve for x
    x = 75,362,413.08/9,775.06
  6. Step 6: Final answer
    x = 7,709.66

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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.