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Finding the Fourth Proportional to 7,040.24, 9,714.80 and 4,556.24

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Solution

The fourth proportional to 7,040.24, 9,714.80 and 4,556.24 is: 6,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.24 : 9,714.80 = 4,556.24 : x
  2. Step 2: Convert to fraction form
    7,040.24/9,714.80 = 4,556.24/x
  3. Step 3: Cross multiply
    7,040.24x = 9,714.80 × 4,556.24
  4. Step 4: Simplify right side
    7,040.24x = 44,262,960.35
  5. Step 5: Solve for x
    x = 44,262,960.35/7,040.24
  6. Step 6: Final answer
    x = 6,287.14

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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.