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Finding the Fourth Proportional to 9,259.39, 12,775.98 and 5,483.74

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Solution

The fourth proportional to 9,259.39, 12,775.98 and 5,483.74 is: 7,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.39 : 12,775.98 = 5,483.74 : x
  2. Step 2: Convert to fraction form
    9,259.39/12,775.98 = 5,483.74/x
  3. Step 3: Cross multiply
    9,259.39x = 12,775.98 × 5,483.74
  4. Step 4: Simplify right side
    9,259.39x = 70,060,152.57
  5. Step 5: Solve for x
    x = 70,060,152.57/9,259.39
  6. Step 6: Final answer
    x = 7,566.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.