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Finding the Fourth Proportional to 6,102.95, 9,155.48 and 2,985.10

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Solution

The fourth proportional to 6,102.95, 9,155.48 and 2,985.10 is: 4,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.95 : 9,155.48 = 2,985.10 : x
  2. Step 2: Convert to fraction form
    6,102.95/9,155.48 = 2,985.10/x
  3. Step 3: Cross multiply
    6,102.95x = 9,155.48 × 2,985.10
  4. Step 4: Simplify right side
    6,102.95x = 27,330,053.82
  5. Step 5: Solve for x
    x = 27,330,053.82/6,102.95
  6. Step 6: Final answer
    x = 4,478.17

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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.