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Finding the Fourth Proportional to 9,302.85, 13,887.35 and 7,972.29

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Solution

The fourth proportional to 9,302.85, 13,887.35 and 7,972.29 is: 11,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.85 : 13,887.35 = 7,972.29 : x
  2. Step 2: Convert to fraction form
    9,302.85/13,887.35 = 7,972.29/x
  3. Step 3: Cross multiply
    9,302.85x = 13,887.35 × 7,972.29
  4. Step 4: Simplify right side
    9,302.85x = 110,713,941.67
  5. Step 5: Solve for x
    x = 110,713,941.67/9,302.85
  6. Step 6: Final answer
    x = 11,901.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.