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Finding the Fourth Proportional to 9,549.76, 14,306.08 and 5,377.04

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Solution

The fourth proportional to 9,549.76, 14,306.08 and 5,377.04 is: 8,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.76 : 14,306.08 = 5,377.04 : x
  2. Step 2: Convert to fraction form
    9,549.76/14,306.08 = 5,377.04/x
  3. Step 3: Cross multiply
    9,549.76x = 14,306.08 × 5,377.04
  4. Step 4: Simplify right side
    9,549.76x = 76,924,364.40
  5. Step 5: Solve for x
    x = 76,924,364.40/9,549.76
  6. Step 6: Final answer
    x = 8,055.11

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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.