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Finding the Fourth Proportional to 9,815.34, 14,725.44 and 4,620

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Solution

The fourth proportional to 9,815.34, 14,725.44 and 4,620 is: 6,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.34 : 14,725.44 = 4,620 : x
  2. Step 2: Convert to fraction form
    9,815.34/14,725.44 = 4,620/x
  3. Step 3: Cross multiply
    9,815.34x = 14,725.44 × 4,620
  4. Step 4: Simplify right side
    9,815.34x = 68,031,532.80
  5. Step 5: Solve for x
    x = 68,031,532.80/9,815.34
  6. Step 6: Final answer
    x = 6,931.14

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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.