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Finding the Fourth Proportional to 9,782.72, 14,667.80 and 6,447.08

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Solution

The fourth proportional to 9,782.72, 14,667.80 and 6,447.08 is: 9,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.72 : 14,667.80 = 6,447.08 : x
  2. Step 2: Convert to fraction form
    9,782.72/14,667.80 = 6,447.08/x
  3. Step 3: Cross multiply
    9,782.72x = 14,667.80 × 6,447.08
  4. Step 4: Simplify right side
    9,782.72x = 94,564,374.45
  5. Step 5: Solve for x
    x = 94,564,374.45/9,782.72
  6. Step 6: Final answer
    x = 9,666.48

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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.