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Finding the Fourth Proportional to 6,085.32, 9,127.98 and 1,468.32

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Solution

The fourth proportional to 6,085.32, 9,127.98 and 1,468.32 is: 2,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.32 : 9,127.98 = 1,468.32 : x
  2. Step 2: Convert to fraction form
    6,085.32/9,127.98 = 1,468.32/x
  3. Step 3: Cross multiply
    6,085.32x = 9,127.98 × 1,468.32
  4. Step 4: Simplify right side
    6,085.32x = 13,402,795.59
  5. Step 5: Solve for x
    x = 13,402,795.59/6,085.32
  6. Step 6: Final answer
    x = 2,202.48

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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.