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Finding the Fourth Proportional to 7,128.50, 9,837.33 and 4,334

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Solution

The fourth proportional to 7,128.50, 9,837.33 and 4,334 is: 5,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.50 : 9,837.33 = 4,334 : x
  2. Step 2: Convert to fraction form
    7,128.50/9,837.33 = 4,334/x
  3. Step 3: Cross multiply
    7,128.50x = 9,837.33 × 4,334
  4. Step 4: Simplify right side
    7,128.50x = 42,634,988.22
  5. Step 5: Solve for x
    x = 42,634,988.22/7,128.50
  6. Step 6: Final answer
    x = 5,980.92

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