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Finding the Fourth Proportional to 9,980.12, 14,971.80 and 3,053

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Solution

The fourth proportional to 9,980.12, 14,971.80 and 3,053 is: 4,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.12 : 14,971.80 = 3,053 : x
  2. Step 2: Convert to fraction form
    9,980.12/14,971.80 = 3,053/x
  3. Step 3: Cross multiply
    9,980.12x = 14,971.80 × 3,053
  4. Step 4: Simplify right side
    9,980.12x = 45,708,905.40
  5. Step 5: Solve for x
    x = 45,708,905.40/9,980.12
  6. Step 6: Final answer
    x = 4,580.00

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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.