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Finding the Fourth Proportional to 9,878.94, 13,635.62 and 5,632.23

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Solution

The fourth proportional to 9,878.94, 13,635.62 and 5,632.23 is: 7,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.94 : 13,635.62 = 5,632.23 : x
  2. Step 2: Convert to fraction form
    9,878.94/13,635.62 = 5,632.23/x
  3. Step 3: Cross multiply
    9,878.94x = 13,635.62 × 5,632.23
  4. Step 4: Simplify right side
    9,878.94x = 76,798,948.03
  5. Step 5: Solve for x
    x = 76,798,948.03/9,878.94
  6. Step 6: Final answer
    x = 7,774.01

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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.