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Finding the Fourth Proportional to 9,259.54, 13,889 and 3,711.40

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Solution

The fourth proportional to 9,259.54, 13,889 and 3,711.40 is: 5,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.54 : 13,889 = 3,711.40 : x
  2. Step 2: Convert to fraction form
    9,259.54/13,889 = 3,711.40/x
  3. Step 3: Cross multiply
    9,259.54x = 13,889 × 3,711.40
  4. Step 4: Simplify right side
    9,259.54x = 51,547,634.60
  5. Step 5: Solve for x
    x = 51,547,634.60/9,259.54
  6. Step 6: Final answer
    x = 5,566.98

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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.