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Finding the Fourth Proportional to 9,645, 14,464.59 and 4,098.25

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Solution

The fourth proportional to 9,645, 14,464.59 and 4,098.25 is: 6,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 14,464.59 = 4,098.25 : x
  2. Step 2: Convert to fraction form
    9,645/14,464.59 = 4,098.25/x
  3. Step 3: Cross multiply
    9,645x = 14,464.59 × 4,098.25
  4. Step 4: Simplify right side
    9,645x = 59,279,505.97
  5. Step 5: Solve for x
    x = 59,279,505.97/9,645
  6. Step 6: Final answer
    x = 6,146.14

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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.