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Finding the Fourth Proportional to 9,591.42, 14,390.64 and 4,046.16

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Solution

The fourth proportional to 9,591.42, 14,390.64 and 4,046.16 is: 6,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.42 : 14,390.64 = 4,046.16 : x
  2. Step 2: Convert to fraction form
    9,591.42/14,390.64 = 4,046.16/x
  3. Step 3: Cross multiply
    9,591.42x = 14,390.64 × 4,046.16
  4. Step 4: Simplify right side
    9,591.42x = 58,226,831.94
  5. Step 5: Solve for x
    x = 58,226,831.94/9,591.42
  6. Step 6: Final answer
    x = 6,070.72

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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.