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Finding the Fourth Proportional to 9,597.12, 14,387.52 and 4,396.80

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Solution

The fourth proportional to 9,597.12, 14,387.52 and 4,396.80 is: 6,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.12 : 14,387.52 = 4,396.80 : x
  2. Step 2: Convert to fraction form
    9,597.12/14,387.52 = 4,396.80/x
  3. Step 3: Cross multiply
    9,597.12x = 14,387.52 × 4,396.80
  4. Step 4: Simplify right side
    9,597.12x = 63,259,047.94
  5. Step 5: Solve for x
    x = 63,259,047.94/9,597.12
  6. Step 6: Final answer
    x = 6,591.46

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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.