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Finding the Fourth Proportional to 37,316.84, 55,975.82 and 9,237

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Solution

The fourth proportional to 37,316.84, 55,975.82 and 9,237 is: 13,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,316.84 : 55,975.82 = 9,237 : x
  2. Step 2: Convert to fraction form
    37,316.84/55,975.82 = 9,237/x
  3. Step 3: Cross multiply
    37,316.84x = 55,975.82 × 9,237
  4. Step 4: Simplify right side
    37,316.84x = 517,048,649.34
  5. Step 5: Solve for x
    x = 517,048,649.34/37,316.84
  6. Step 6: Final answer
    x = 13,855.64

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