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Finding the Fourth Proportional to 9,613.41, 14,424.03 and 4,931.07

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Solution

The fourth proportional to 9,613.41, 14,424.03 and 4,931.07 is: 7,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.41 : 14,424.03 = 4,931.07 : x
  2. Step 2: Convert to fraction form
    9,613.41/14,424.03 = 4,931.07/x
  3. Step 3: Cross multiply
    9,613.41x = 14,424.03 × 4,931.07
  4. Step 4: Simplify right side
    9,613.41x = 71,125,901.61
  5. Step 5: Solve for x
    x = 71,125,901.61/9,613.41
  6. Step 6: Final answer
    x = 7,398.61

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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.