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Finding the Fourth Proportional to 9,862.14, 14,780.64 and 4,314

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Solution

The fourth proportional to 9,862.14, 14,780.64 and 4,314 is: 6,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.14 : 14,780.64 = 4,314 : x
  2. Step 2: Convert to fraction form
    9,862.14/14,780.64 = 4,314/x
  3. Step 3: Cross multiply
    9,862.14x = 14,780.64 × 4,314
  4. Step 4: Simplify right side
    9,862.14x = 63,763,680.96
  5. Step 5: Solve for x
    x = 63,763,680.96/9,862.14
  6. Step 6: Final answer
    x = 6,465.50

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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.