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Finding the Fourth Proportional to 9,685.08, 14,507 and 7,319.02

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Solution

The fourth proportional to 9,685.08, 14,507 and 7,319.02 is: 10,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.08 : 14,507 = 7,319.02 : x
  2. Step 2: Convert to fraction form
    9,685.08/14,507 = 7,319.02/x
  3. Step 3: Cross multiply
    9,685.08x = 14,507 × 7,319.02
  4. Step 4: Simplify right side
    9,685.08x = 106,177,023.14
  5. Step 5: Solve for x
    x = 106,177,023.14/9,685.08
  6. Step 6: Final answer
    x = 10,962.95

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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.