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Finding the Fourth Proportional to 6,113.10, 9,169.72 and 1,953.08

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Solution

The fourth proportional to 6,113.10, 9,169.72 and 1,953.08 is: 2,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.10 : 9,169.72 = 1,953.08 : x
  2. Step 2: Convert to fraction form
    6,113.10/9,169.72 = 1,953.08/x
  3. Step 3: Cross multiply
    6,113.10x = 9,169.72 × 1,953.08
  4. Step 4: Simplify right side
    6,113.10x = 17,909,196.74
  5. Step 5: Solve for x
    x = 17,909,196.74/6,113.10
  6. Step 6: Final answer
    x = 2,929.64

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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.