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Finding the Fourth Proportional to 9,971.72, 14,952.06 and 4,629.08

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Solution

The fourth proportional to 9,971.72, 14,952.06 and 4,629.08 is: 6,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.72 : 14,952.06 = 4,629.08 : x
  2. Step 2: Convert to fraction form
    9,971.72/14,952.06 = 4,629.08/x
  3. Step 3: Cross multiply
    9,971.72x = 14,952.06 × 4,629.08
  4. Step 4: Simplify right side
    9,971.72x = 69,214,281.90
  5. Step 5: Solve for x
    x = 69,214,281.90/9,971.72
  6. Step 6: Final answer
    x = 6,941.06

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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.