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Finding the Fourth Proportional to 9,693.12, 14,542.88 and 4,495.20

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Solution

The fourth proportional to 9,693.12, 14,542.88 and 4,495.20 is: 6,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.12 : 14,542.88 = 4,495.20 : x
  2. Step 2: Convert to fraction form
    9,693.12/14,542.88 = 4,495.20/x
  3. Step 3: Cross multiply
    9,693.12x = 14,542.88 × 4,495.20
  4. Step 4: Simplify right side
    9,693.12x = 65,373,154.18
  5. Step 5: Solve for x
    x = 65,373,154.18/9,693.12
  6. Step 6: Final answer
    x = 6,744.28

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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.