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Finding the Fourth Proportional to 10,422.33, 14,352.48 and 9,058.98

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Solution

The fourth proportional to 10,422.33, 14,352.48 and 9,058.98 is: 12,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.33 : 14,352.48 = 9,058.98 : x
  2. Step 2: Convert to fraction form
    10,422.33/14,352.48 = 9,058.98/x
  3. Step 3: Cross multiply
    10,422.33x = 14,352.48 × 9,058.98
  4. Step 4: Simplify right side
    10,422.33x = 130,018,829.27
  5. Step 5: Solve for x
    x = 130,018,829.27/10,422.33
  6. Step 6: Final answer
    x = 12,475.03

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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.