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Finding the Fourth Proportional to 9,885.84, 14,829.48 and 3,312

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Solution

The fourth proportional to 9,885.84, 14,829.48 and 3,312 is: 4,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.84 : 14,829.48 = 3,312 : x
  2. Step 2: Convert to fraction form
    9,885.84/14,829.48 = 3,312/x
  3. Step 3: Cross multiply
    9,885.84x = 14,829.48 × 3,312
  4. Step 4: Simplify right side
    9,885.84x = 49,115,237.76
  5. Step 5: Solve for x
    x = 49,115,237.76/9,885.84
  6. Step 6: Final answer
    x = 4,968.24

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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.