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Finding the Fourth Proportional to 7,549.46, 11,332.38 and 6,384.88

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Solution

The fourth proportional to 7,549.46, 11,332.38 and 6,384.88 is: 9,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.46 : 11,332.38 = 6,384.88 : x
  2. Step 2: Convert to fraction form
    7,549.46/11,332.38 = 6,384.88/x
  3. Step 3: Cross multiply
    7,549.46x = 11,332.38 × 6,384.88
  4. Step 4: Simplify right side
    7,549.46x = 72,355,886.41
  5. Step 5: Solve for x
    x = 72,355,886.41/7,549.46
  6. Step 6: Final answer
    x = 9,584.25

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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.