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Finding the Fourth Proportional to 9,653, 13,321.14 and 5,237

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Solution

The fourth proportional to 9,653, 13,321.14 and 5,237 is: 7,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653 : 13,321.14 = 5,237 : x
  2. Step 2: Convert to fraction form
    9,653/13,321.14 = 5,237/x
  3. Step 3: Cross multiply
    9,653x = 13,321.14 × 5,237
  4. Step 4: Simplify right side
    9,653x = 69,762,810.18
  5. Step 5: Solve for x
    x = 69,762,810.18/9,653
  6. Step 6: Final answer
    x = 7,227.06

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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.