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Finding the Fourth Proportional to 9,794.32, 14,684.52 and 4,597.36

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Solution

The fourth proportional to 9,794.32, 14,684.52 and 4,597.36 is: 6,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.32 : 14,684.52 = 4,597.36 : x
  2. Step 2: Convert to fraction form
    9,794.32/14,684.52 = 4,597.36/x
  3. Step 3: Cross multiply
    9,794.32x = 14,684.52 × 4,597.36
  4. Step 4: Simplify right side
    9,794.32x = 67,510,024.87
  5. Step 5: Solve for x
    x = 67,510,024.87/9,794.32
  6. Step 6: Final answer
    x = 6,892.77

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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.