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Finding the Fourth Proportional to 9,762.52, 14,641.26 and 6,966.04

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Solution

The fourth proportional to 9,762.52, 14,641.26 and 6,966.04 is: 10,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.52 : 14,641.26 = 6,966.04 : x
  2. Step 2: Convert to fraction form
    9,762.52/14,641.26 = 6,966.04/x
  3. Step 3: Cross multiply
    9,762.52x = 14,641.26 × 6,966.04
  4. Step 4: Simplify right side
    9,762.52x = 101,991,602.81
  5. Step 5: Solve for x
    x = 101,991,602.81/9,762.52
  6. Step 6: Final answer
    x = 10,447.26

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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.