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Finding the Fourth Proportional to 9,177.10, 12,877.10 and 9,177.10

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Solution

The fourth proportional to 9,177.10, 12,877.10 and 9,177.10 is: 12,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.10 : 12,877.10 = 9,177.10 : x
  2. Step 2: Convert to fraction form
    9,177.10/12,877.10 = 9,177.10/x
  3. Step 3: Cross multiply
    9,177.10x = 12,877.10 × 9,177.10
  4. Step 4: Simplify right side
    9,177.10x = 118,174,434.41
  5. Step 5: Solve for x
    x = 118,174,434.41/9,177.10
  6. Step 6: Final answer
    x = 12,877.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.