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Finding the Fourth Proportional to 9,931.84, 14,897.82 and 4,084.36

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Solution

The fourth proportional to 9,931.84, 14,897.82 and 4,084.36 is: 6,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.84 : 14,897.82 = 4,084.36 : x
  2. Step 2: Convert to fraction form
    9,931.84/14,897.82 = 4,084.36/x
  3. Step 3: Cross multiply
    9,931.84x = 14,897.82 × 4,084.36
  4. Step 4: Simplify right side
    9,931.84x = 60,848,060.10
  5. Step 5: Solve for x
    x = 60,848,060.10/9,931.84
  6. Step 6: Final answer
    x = 6,126.56

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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.