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Finding the Fourth Proportional to 9,751.48, 14,602.29 and 5,364.12

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Solution

The fourth proportional to 9,751.48, 14,602.29 and 5,364.12 is: 8,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.48 : 14,602.29 = 5,364.12 : x
  2. Step 2: Convert to fraction form
    9,751.48/14,602.29 = 5,364.12/x
  3. Step 3: Cross multiply
    9,751.48x = 14,602.29 × 5,364.12
  4. Step 4: Simplify right side
    9,751.48x = 78,328,435.83
  5. Step 5: Solve for x
    x = 78,328,435.83/9,751.48
  6. Step 6: Final answer
    x = 8,032.47

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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.