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Finding the Fourth Proportional to 9,877.68, 14,816.16 and 2,952

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Solution

The fourth proportional to 9,877.68, 14,816.16 and 2,952 is: 4,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.68 : 14,816.16 = 2,952 : x
  2. Step 2: Convert to fraction form
    9,877.68/14,816.16 = 2,952/x
  3. Step 3: Cross multiply
    9,877.68x = 14,816.16 × 2,952
  4. Step 4: Simplify right side
    9,877.68x = 43,737,304.32
  5. Step 5: Solve for x
    x = 43,737,304.32/9,877.68
  6. Step 6: Final answer
    x = 4,427.89

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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.