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Finding the Fourth Proportional to 9,001.42, 12,421.92 and 4,968.21

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Solution

The fourth proportional to 9,001.42, 12,421.92 and 4,968.21 is: 6,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.42 : 12,421.92 = 4,968.21 : x
  2. Step 2: Convert to fraction form
    9,001.42/12,421.92 = 4,968.21/x
  3. Step 3: Cross multiply
    9,001.42x = 12,421.92 × 4,968.21
  4. Step 4: Simplify right side
    9,001.42x = 61,714,772.38
  5. Step 5: Solve for x
    x = 61,714,772.38/9,001.42
  6. Step 6: Final answer
    x = 6,856.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.