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Finding the Fourth Proportional to 9,386.80, 14,078.68 and 3,146.74

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Solution

The fourth proportional to 9,386.80, 14,078.68 and 3,146.74 is: 4,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.80 : 14,078.68 = 3,146.74 : x
  2. Step 2: Convert to fraction form
    9,386.80/14,078.68 = 3,146.74/x
  3. Step 3: Cross multiply
    9,386.80x = 14,078.68 × 3,146.74
  4. Step 4: Simplify right side
    9,386.80x = 44,301,945.50
  5. Step 5: Solve for x
    x = 44,301,945.50/9,386.80
  6. Step 6: Final answer
    x = 4,719.60

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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.