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Finding the Fourth Proportional to 9,622.32, 13,278.86 and 5,643.51

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Solution

The fourth proportional to 9,622.32, 13,278.86 and 5,643.51 is: 7,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.32 : 13,278.86 = 5,643.51 : x
  2. Step 2: Convert to fraction form
    9,622.32/13,278.86 = 5,643.51/x
  3. Step 3: Cross multiply
    9,622.32x = 13,278.86 × 5,643.51
  4. Step 4: Simplify right side
    9,622.32x = 74,939,379.20
  5. Step 5: Solve for x
    x = 74,939,379.20/9,622.32
  6. Step 6: Final answer
    x = 7,788.08

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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.