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Finding the Fourth Proportional to 9,093.52, 12,547.76 and 5,114.48

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Solution

The fourth proportional to 9,093.52, 12,547.76 and 5,114.48 is: 7,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.52 : 12,547.76 = 5,114.48 : x
  2. Step 2: Convert to fraction form
    9,093.52/12,547.76 = 5,114.48/x
  3. Step 3: Cross multiply
    9,093.52x = 12,547.76 × 5,114.48
  4. Step 4: Simplify right side
    9,093.52x = 64,175,267.56
  5. Step 5: Solve for x
    x = 64,175,267.56/9,093.52
  6. Step 6: Final answer
    x = 7,057.25

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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.