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Finding the Fourth Proportional to 8,962.36, 12,368.46 and 4,983.84

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Solution

The fourth proportional to 8,962.36, 12,368.46 and 4,983.84 is: 6,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.36 : 12,368.46 = 4,983.84 : x
  2. Step 2: Convert to fraction form
    8,962.36/12,368.46 = 4,983.84/x
  3. Step 3: Cross multiply
    8,962.36x = 12,368.46 × 4,983.84
  4. Step 4: Simplify right side
    8,962.36x = 61,642,444.38
  5. Step 5: Solve for x
    x = 61,642,444.38/8,962.36
  6. Step 6: Final answer
    x = 6,877.93

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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.