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Finding the Fourth Proportional to 9,097.50, 12,555.14 and 5,514.93

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Solution

The fourth proportional to 9,097.50, 12,555.14 and 5,514.93 is: 7,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.50 : 12,555.14 = 5,514.93 : x
  2. Step 2: Convert to fraction form
    9,097.50/12,555.14 = 5,514.93/x
  3. Step 3: Cross multiply
    9,097.50x = 12,555.14 × 5,514.93
  4. Step 4: Simplify right side
    9,097.50x = 69,240,718.24
  5. Step 5: Solve for x
    x = 69,240,718.24/9,097.50
  6. Step 6: Final answer
    x = 7,610.96

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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.