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Finding the Fourth Proportional to 9,021.60, 13,541.04 and 4,642.20

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Solution

The fourth proportional to 9,021.60, 13,541.04 and 4,642.20 is: 6,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.60 : 13,541.04 = 4,642.20 : x
  2. Step 2: Convert to fraction form
    9,021.60/13,541.04 = 4,642.20/x
  3. Step 3: Cross multiply
    9,021.60x = 13,541.04 × 4,642.20
  4. Step 4: Simplify right side
    9,021.60x = 62,860,215.89
  5. Step 5: Solve for x
    x = 62,860,215.89/9,021.60
  6. Step 6: Final answer
    x = 6,967.75

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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.