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Finding the Fourth Proportional to 9,097.86, 13,618.54 and 4,927.51

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Solution

The fourth proportional to 9,097.86, 13,618.54 and 4,927.51 is: 7,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.86 : 13,618.54 = 4,927.51 : x
  2. Step 2: Convert to fraction form
    9,097.86/13,618.54 = 4,927.51/x
  3. Step 3: Cross multiply
    9,097.86x = 13,618.54 × 4,927.51
  4. Step 4: Simplify right side
    9,097.86x = 67,105,492.04
  5. Step 5: Solve for x
    x = 67,105,492.04/9,097.86
  6. Step 6: Final answer
    x = 7,375.96

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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.