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Finding the Fourth Proportional to 6,345.95, 9,525.07 and 3,061.34

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Solution

The fourth proportional to 6,345.95, 9,525.07 and 3,061.34 is: 4,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.95 : 9,525.07 = 3,061.34 : x
  2. Step 2: Convert to fraction form
    6,345.95/9,525.07 = 3,061.34/x
  3. Step 3: Cross multiply
    6,345.95x = 9,525.07 × 3,061.34
  4. Step 4: Simplify right side
    6,345.95x = 29,159,514.68
  5. Step 5: Solve for x
    x = 29,159,514.68/6,345.95
  6. Step 6: Final answer
    x = 4,594.98

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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.