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Finding the Fourth Proportional to 9,653.25, 13,270.35 and 8,303.91

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Solution

The fourth proportional to 9,653.25, 13,270.35 and 8,303.91 is: 11,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.25 : 13,270.35 = 8,303.91 : x
  2. Step 2: Convert to fraction form
    9,653.25/13,270.35 = 8,303.91/x
  3. Step 3: Cross multiply
    9,653.25x = 13,270.35 × 8,303.91
  4. Step 4: Simplify right side
    9,653.25x = 110,195,792.07
  5. Step 5: Solve for x
    x = 110,195,792.07/9,653.25
  6. Step 6: Final answer
    x = 11,415.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.