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Finding the Fourth Proportional to 37,009.60, 55,514.40 and 9,307.60

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Solution

The fourth proportional to 37,009.60, 55,514.40 and 9,307.60 is: 13,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009.60 : 55,514.40 = 9,307.60 : x
  2. Step 2: Convert to fraction form
    37,009.60/55,514.40 = 9,307.60/x
  3. Step 3: Cross multiply
    37,009.60x = 55,514.40 × 9,307.60
  4. Step 4: Simplify right side
    37,009.60x = 516,705,829.44
  5. Step 5: Solve for x
    x = 516,705,829.44/37,009.60
  6. Step 6: Final answer
    x = 13,961.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.