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Finding the Fourth Proportional to 9,347.78, 14,019.24 and 4,407.60

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Solution

The fourth proportional to 9,347.78, 14,019.24 and 4,407.60 is: 6,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.78 : 14,019.24 = 4,407.60 : x
  2. Step 2: Convert to fraction form
    9,347.78/14,019.24 = 4,407.60/x
  3. Step 3: Cross multiply
    9,347.78x = 14,019.24 × 4,407.60
  4. Step 4: Simplify right side
    9,347.78x = 61,791,202.22
  5. Step 5: Solve for x
    x = 61,791,202.22/9,347.78
  6. Step 6: Final answer
    x = 6,610.25

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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.