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Finding the Fourth Proportional to 9,597.42, 14,396.80 and 3,356.72

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Solution

The fourth proportional to 9,597.42, 14,396.80 and 3,356.72 is: 5,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.42 : 14,396.80 = 3,356.72 : x
  2. Step 2: Convert to fraction form
    9,597.42/14,396.80 = 3,356.72/x
  3. Step 3: Cross multiply
    9,597.42x = 14,396.80 × 3,356.72
  4. Step 4: Simplify right side
    9,597.42x = 48,326,026.50
  5. Step 5: Solve for x
    x = 48,326,026.50/9,597.42
  6. Step 6: Final answer
    x = 5,035.31

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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.