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Finding the Fourth Proportional to 10,409.44, 15,537.92 and 9,032.32

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Solution

The fourth proportional to 10,409.44, 15,537.92 and 9,032.32 is: 13,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.44 : 15,537.92 = 9,032.32 : x
  2. Step 2: Convert to fraction form
    10,409.44/15,537.92 = 9,032.32/x
  3. Step 3: Cross multiply
    10,409.44x = 15,537.92 × 9,032.32
  4. Step 4: Simplify right side
    10,409.44x = 140,343,465.57
  5. Step 5: Solve for x
    x = 140,343,465.57/10,409.44
  6. Step 6: Final answer
    x = 13,482.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.