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Finding the Fourth Proportional to 9,865.16, 14,775.80 and 9,096.87

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Solution

The fourth proportional to 9,865.16, 14,775.80 and 9,096.87 is: 13,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.16 : 14,775.80 = 9,096.87 : x
  2. Step 2: Convert to fraction form
    9,865.16/14,775.80 = 9,096.87/x
  3. Step 3: Cross multiply
    9,865.16x = 14,775.80 × 9,096.87
  4. Step 4: Simplify right side
    9,865.16x = 134,413,486.26
  5. Step 5: Solve for x
    x = 134,413,486.26/9,865.16
  6. Step 6: Final answer
    x = 13,625.08

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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.