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Finding the Fourth Proportional to 9,032.95, 12,464.37 and 5,052.61

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Solution

The fourth proportional to 9,032.95, 12,464.37 and 5,052.61 is: 6,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.95 : 12,464.37 = 5,052.61 : x
  2. Step 2: Convert to fraction form
    9,032.95/12,464.37 = 5,052.61/x
  3. Step 3: Cross multiply
    9,032.95x = 12,464.37 × 5,052.61
  4. Step 4: Simplify right side
    9,032.95x = 62,977,600.51
  5. Step 5: Solve for x
    x = 62,977,600.51/9,032.95
  6. Step 6: Final answer
    x = 6,971.99

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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.