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Finding the Fourth Proportional to 9,646.96, 14,459.88 and 4,967.25

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Solution

The fourth proportional to 9,646.96, 14,459.88 and 4,967.25 is: 7,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.96 : 14,459.88 = 4,967.25 : x
  2. Step 2: Convert to fraction form
    9,646.96/14,459.88 = 4,967.25/x
  3. Step 3: Cross multiply
    9,646.96x = 14,459.88 × 4,967.25
  4. Step 4: Simplify right side
    9,646.96x = 71,825,816.47
  5. Step 5: Solve for x
    x = 71,825,816.47/9,646.96
  6. Step 6: Final answer
    x = 7,445.44

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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.