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Finding the Fourth Proportional to 9,032.57, 12,465.24 and 5,054.36

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Solution

The fourth proportional to 9,032.57, 12,465.24 and 5,054.36 is: 6,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.57 : 12,465.24 = 5,054.36 : x
  2. Step 2: Convert to fraction form
    9,032.57/12,465.24 = 5,054.36/x
  3. Step 3: Cross multiply
    9,032.57x = 12,465.24 × 5,054.36
  4. Step 4: Simplify right side
    9,032.57x = 63,003,810.45
  5. Step 5: Solve for x
    x = 63,003,810.45/9,032.57
  6. Step 6: Final answer
    x = 6,975.18

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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.