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Finding the Fourth Proportional to 9,153.59, 13,714.71 and 4,996.51

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Solution

The fourth proportional to 9,153.59, 13,714.71 and 4,996.51 is: 7,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.59 : 13,714.71 = 4,996.51 : x
  2. Step 2: Convert to fraction form
    9,153.59/13,714.71 = 4,996.51/x
  3. Step 3: Cross multiply
    9,153.59x = 13,714.71 × 4,996.51
  4. Step 4: Simplify right side
    9,153.59x = 68,525,709.78
  5. Step 5: Solve for x
    x = 68,525,709.78/9,153.59
  6. Step 6: Final answer
    x = 7,486.22

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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.