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Finding the Fourth Proportional to 9,810.16, 14,715.96 and 2,884.96

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Solution

The fourth proportional to 9,810.16, 14,715.96 and 2,884.96 is: 4,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.16 : 14,715.96 = 2,884.96 : x
  2. Step 2: Convert to fraction form
    9,810.16/14,715.96 = 2,884.96/x
  3. Step 3: Cross multiply
    9,810.16x = 14,715.96 × 2,884.96
  4. Step 4: Simplify right side
    9,810.16x = 42,454,955.96
  5. Step 5: Solve for x
    x = 42,454,955.96/9,810.16
  6. Step 6: Final answer
    x = 4,327.65

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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.