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Finding the Fourth Proportional to 9,224.60, 12,714.78 and 6,536.72

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Solution

The fourth proportional to 9,224.60, 12,714.78 and 6,536.72 is: 9,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.60 : 12,714.78 = 6,536.72 : x
  2. Step 2: Convert to fraction form
    9,224.60/12,714.78 = 6,536.72/x
  3. Step 3: Cross multiply
    9,224.60x = 12,714.78 × 6,536.72
  4. Step 4: Simplify right side
    9,224.60x = 83,112,956.72
  5. Step 5: Solve for x
    x = 83,112,956.72/9,224.60
  6. Step 6: Final answer
    x = 9,009.93

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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.