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Finding the Fourth Proportional to 9,139.82, 12,612.98 and 4,948.06

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Solution

The fourth proportional to 9,139.82, 12,612.98 and 4,948.06 is: 6,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.82 : 12,612.98 = 4,948.06 : x
  2. Step 2: Convert to fraction form
    9,139.82/12,612.98 = 4,948.06/x
  3. Step 3: Cross multiply
    9,139.82x = 12,612.98 × 4,948.06
  4. Step 4: Simplify right side
    9,139.82x = 62,409,781.82
  5. Step 5: Solve for x
    x = 62,409,781.82/9,139.82
  6. Step 6: Final answer
    x = 6,828.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.