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Finding the Fourth Proportional to 9,772.65, 13,485.69 and 5,580.90

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Solution

The fourth proportional to 9,772.65, 13,485.69 and 5,580.90 is: 7,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.65 : 13,485.69 = 5,580.90 : x
  2. Step 2: Convert to fraction form
    9,772.65/13,485.69 = 5,580.90/x
  3. Step 3: Cross multiply
    9,772.65x = 13,485.69 × 5,580.90
  4. Step 4: Simplify right side
    9,772.65x = 75,262,287.32
  5. Step 5: Solve for x
    x = 75,262,287.32/9,772.65
  6. Step 6: Final answer
    x = 7,701.32

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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.