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Finding the Fourth Proportional to 7,230.12, 9,978.90 and 4,575.72

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Solution

The fourth proportional to 7,230.12, 9,978.90 and 4,575.72 is: 6,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.12 : 9,978.90 = 4,575.72 : x
  2. Step 2: Convert to fraction form
    7,230.12/9,978.90 = 4,575.72/x
  3. Step 3: Cross multiply
    7,230.12x = 9,978.90 × 4,575.72
  4. Step 4: Simplify right side
    7,230.12x = 45,660,652.31
  5. Step 5: Solve for x
    x = 45,660,652.31/7,230.12
  6. Step 6: Final answer
    x = 6,315.34

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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.