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Finding the Fourth Proportional to 6,948.54, 9,603.98 and 6,146.18

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Solution

The fourth proportional to 6,948.54, 9,603.98 and 6,146.18 is: 8,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.54 : 9,603.98 = 6,146.18 : x
  2. Step 2: Convert to fraction form
    6,948.54/9,603.98 = 6,146.18/x
  3. Step 3: Cross multiply
    6,948.54x = 9,603.98 × 6,146.18
  4. Step 4: Simplify right side
    6,948.54x = 59,027,858.70
  5. Step 5: Solve for x
    x = 59,027,858.70/6,948.54
  6. Step 6: Final answer
    x = 8,495.00

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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.