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Finding the Fourth Proportional to 6,156.04, 9,232.16 and 1,772.32

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Solution

The fourth proportional to 6,156.04, 9,232.16 and 1,772.32 is: 2,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.04 : 9,232.16 = 1,772.32 : x
  2. Step 2: Convert to fraction form
    6,156.04/9,232.16 = 1,772.32/x
  3. Step 3: Cross multiply
    6,156.04x = 9,232.16 × 1,772.32
  4. Step 4: Simplify right side
    6,156.04x = 16,362,341.81
  5. Step 5: Solve for x
    x = 16,362,341.81/6,156.04
  6. Step 6: Final answer
    x = 2,657.93

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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.