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Finding the Fourth Proportional to 9,051.68, 12,492 and 5,072.96

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Solution

The fourth proportional to 9,051.68, 12,492 and 5,072.96 is: 7,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.68 : 12,492 = 5,072.96 : x
  2. Step 2: Convert to fraction form
    9,051.68/12,492 = 5,072.96/x
  3. Step 3: Cross multiply
    9,051.68x = 12,492 × 5,072.96
  4. Step 4: Simplify right side
    9,051.68x = 63,371,416.32
  5. Step 5: Solve for x
    x = 63,371,416.32/9,051.68
  6. Step 6: Final answer
    x = 7,001.07

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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.