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Finding the Fourth Proportional to 9,985.84, 14,980.32 and 4,441.12

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Solution

The fourth proportional to 9,985.84, 14,980.32 and 4,441.12 is: 6,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.84 : 14,980.32 = 4,441.12 : x
  2. Step 2: Convert to fraction form
    9,985.84/14,980.32 = 4,441.12/x
  3. Step 3: Cross multiply
    9,985.84x = 14,980.32 × 4,441.12
  4. Step 4: Simplify right side
    9,985.84x = 66,529,398.76
  5. Step 5: Solve for x
    x = 66,529,398.76/9,985.84
  6. Step 6: Final answer
    x = 6,662.37

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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.