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Finding the Fourth Proportional to 9,634.64, 13,291.02 and 7,506.36

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Solution

The fourth proportional to 9,634.64, 13,291.02 and 7,506.36 is: 10,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.64 : 13,291.02 = 7,506.36 : x
  2. Step 2: Convert to fraction form
    9,634.64/13,291.02 = 7,506.36/x
  3. Step 3: Cross multiply
    9,634.64x = 13,291.02 × 7,506.36
  4. Step 4: Simplify right side
    9,634.64x = 99,767,180.89
  5. Step 5: Solve for x
    x = 99,767,180.89/9,634.64
  6. Step 6: Final answer
    x = 10,355.06

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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.