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Finding the Fourth Proportional to 9,435.34, 14,147.52 and 6,938.02

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Solution

The fourth proportional to 9,435.34, 14,147.52 and 6,938.02 is: 10,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.34 : 14,147.52 = 6,938.02 : x
  2. Step 2: Convert to fraction form
    9,435.34/14,147.52 = 6,938.02/x
  3. Step 3: Cross multiply
    9,435.34x = 14,147.52 × 6,938.02
  4. Step 4: Simplify right side
    9,435.34x = 98,155,776.71
  5. Step 5: Solve for x
    x = 98,155,776.71/9,435.34
  6. Step 6: Final answer
    x = 10,402.99

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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.