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Finding the Fourth Proportional to 9,038.14, 13,558.10 and 2,464.32

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Solution

The fourth proportional to 9,038.14, 13,558.10 and 2,464.32 is: 3,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.14 : 13,558.10 = 2,464.32 : x
  2. Step 2: Convert to fraction form
    9,038.14/13,558.10 = 2,464.32/x
  3. Step 3: Cross multiply
    9,038.14x = 13,558.10 × 2,464.32
  4. Step 4: Simplify right side
    9,038.14x = 33,411,535.51
  5. Step 5: Solve for x
    x = 33,411,535.51/9,038.14
  6. Step 6: Final answer
    x = 3,696.73

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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.