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Finding the Fourth Proportional to 9,881.42, 14,825.16 and 4,038.48

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Solution

The fourth proportional to 9,881.42, 14,825.16 and 4,038.48 is: 6,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.42 : 14,825.16 = 4,038.48 : x
  2. Step 2: Convert to fraction form
    9,881.42/14,825.16 = 4,038.48/x
  3. Step 3: Cross multiply
    9,881.42x = 14,825.16 × 4,038.48
  4. Step 4: Simplify right side
    9,881.42x = 59,871,112.16
  5. Step 5: Solve for x
    x = 59,871,112.16/9,881.42
  6. Step 6: Final answer
    x = 6,058.96

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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.