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Finding the Fourth Proportional to 9,985.17, 14,980.88 and 2,965.22

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Solution

The fourth proportional to 9,985.17, 14,980.88 and 2,965.22 is: 4,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.17 : 14,980.88 = 2,965.22 : x
  2. Step 2: Convert to fraction form
    9,985.17/14,980.88 = 2,965.22/x
  3. Step 3: Cross multiply
    9,985.17x = 14,980.88 × 2,965.22
  4. Step 4: Simplify right side
    9,985.17x = 44,421,515.26
  5. Step 5: Solve for x
    x = 44,421,515.26/9,985.17
  6. Step 6: Final answer
    x = 4,448.75

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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.