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Finding the Fourth Proportional to 9,387.02, 12,957.32 and 5,409.71

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Solution

The fourth proportional to 9,387.02, 12,957.32 and 5,409.71 is: 7,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.02 : 12,957.32 = 5,409.71 : x
  2. Step 2: Convert to fraction form
    9,387.02/12,957.32 = 5,409.71/x
  3. Step 3: Cross multiply
    9,387.02x = 12,957.32 × 5,409.71
  4. Step 4: Simplify right side
    9,387.02x = 70,095,316.53
  5. Step 5: Solve for x
    x = 70,095,316.53/9,387.02
  6. Step 6: Final answer
    x = 7,467.26

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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.