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Finding the Fourth Proportional to 9,597.42, 14,399.64 and 4,052.16

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Solution

The fourth proportional to 9,597.42, 14,399.64 and 4,052.16 is: 6,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.42 : 14,399.64 = 4,052.16 : x
  2. Step 2: Convert to fraction form
    9,597.42/14,399.64 = 4,052.16/x
  3. Step 3: Cross multiply
    9,597.42x = 14,399.64 × 4,052.16
  4. Step 4: Simplify right side
    9,597.42x = 58,349,645.22
  5. Step 5: Solve for x
    x = 58,349,645.22/9,597.42
  6. Step 6: Final answer
    x = 6,079.72

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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.