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Finding the Fourth Proportional to 9,599.35, 14,389.68 and 4,921.52

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Solution

The fourth proportional to 9,599.35, 14,389.68 and 4,921.52 is: 7,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.35 : 14,389.68 = 4,921.52 : x
  2. Step 2: Convert to fraction form
    9,599.35/14,389.68 = 4,921.52/x
  3. Step 3: Cross multiply
    9,599.35x = 14,389.68 × 4,921.52
  4. Step 4: Simplify right side
    9,599.35x = 70,819,097.91
  5. Step 5: Solve for x
    x = 70,819,097.91/9,599.35
  6. Step 6: Final answer
    x = 7,377.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.