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Finding the Fourth Proportional to 9,374.32, 14,063.04 and 3,830.64

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Solution

The fourth proportional to 9,374.32, 14,063.04 and 3,830.64 is: 5,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.32 : 14,063.04 = 3,830.64 : x
  2. Step 2: Convert to fraction form
    9,374.32/14,063.04 = 3,830.64/x
  3. Step 3: Cross multiply
    9,374.32x = 14,063.04 × 3,830.64
  4. Step 4: Simplify right side
    9,374.32x = 53,870,443.55
  5. Step 5: Solve for x
    x = 53,870,443.55/9,374.32
  6. Step 6: Final answer
    x = 5,746.60

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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.