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Finding the Fourth Proportional to 9,873.32, 14,812.31 and 2,948.00

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Solution

The fourth proportional to 9,873.32, 14,812.31 and 2,948.00 is: 4,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.32 : 14,812.31 = 2,948.00 : x
  2. Step 2: Convert to fraction form
    9,873.32/14,812.31 = 2,948.00/x
  3. Step 3: Cross multiply
    9,873.32x = 14,812.31 × 2,948.00
  4. Step 4: Simplify right side
    9,873.32x = 43,666,615.82
  5. Step 5: Solve for x
    x = 43,666,615.82/9,873.32
  6. Step 6: Final answer
    x = 4,422.69

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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.