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Finding the Fourth Proportional to 9,933.60, 14,897.12 and 4,008.96

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Solution

The fourth proportional to 9,933.60, 14,897.12 and 4,008.96 is: 6,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.60 : 14,897.12 = 4,008.96 : x
  2. Step 2: Convert to fraction form
    9,933.60/14,897.12 = 4,008.96/x
  3. Step 3: Cross multiply
    9,933.60x = 14,897.12 × 4,008.96
  4. Step 4: Simplify right side
    9,933.60x = 59,721,938.15
  5. Step 5: Solve for x
    x = 59,721,938.15/9,933.60
  6. Step 6: Final answer
    x = 6,012.11

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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.