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Finding the Fourth Proportional to 9,756.26, 14,642.59 and 9,141.17

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Solution

The fourth proportional to 9,756.26, 14,642.59 and 9,141.17 is: 13,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.26 : 14,642.59 = 9,141.17 : x
  2. Step 2: Convert to fraction form
    9,756.26/14,642.59 = 9,141.17/x
  3. Step 3: Cross multiply
    9,756.26x = 14,642.59 × 9,141.17
  4. Step 4: Simplify right side
    9,756.26x = 133,850,331.22
  5. Step 5: Solve for x
    x = 133,850,331.22/9,756.26
  6. Step 6: Final answer
    x = 13,719.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.