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Finding the Fourth Proportional to 9,967.96, 14,952.06 and 6,527.08

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Solution

The fourth proportional to 9,967.96, 14,952.06 and 6,527.08 is: 9,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.96 : 14,952.06 = 6,527.08 : x
  2. Step 2: Convert to fraction form
    9,967.96/14,952.06 = 6,527.08/x
  3. Step 3: Cross multiply
    9,967.96x = 14,952.06 × 6,527.08
  4. Step 4: Simplify right side
    9,967.96x = 97,593,291.78
  5. Step 5: Solve for x
    x = 97,593,291.78/9,967.96
  6. Step 6: Final answer
    x = 9,790.70

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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.