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Finding the Fourth Proportional to 9,980.15, 14,970.13 and 2,960.17

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Solution

The fourth proportional to 9,980.15, 14,970.13 and 2,960.17 is: 4,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.15 : 14,970.13 = 2,960.17 : x
  2. Step 2: Convert to fraction form
    9,980.15/14,970.13 = 2,960.17/x
  3. Step 3: Cross multiply
    9,980.15x = 14,970.13 × 2,960.17
  4. Step 4: Simplify right side
    9,980.15x = 44,314,084.90
  5. Step 5: Solve for x
    x = 44,314,084.90/9,980.15
  6. Step 6: Final answer
    x = 4,440.22

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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.