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Finding the Fourth Proportional to 9,746.08, 14,605.44 and 7,544.72

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Solution

The fourth proportional to 9,746.08, 14,605.44 and 7,544.72 is: 11,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.08 : 14,605.44 = 7,544.72 : x
  2. Step 2: Convert to fraction form
    9,746.08/14,605.44 = 7,544.72/x
  3. Step 3: Cross multiply
    9,746.08x = 14,605.44 × 7,544.72
  4. Step 4: Simplify right side
    9,746.08x = 110,193,955.28
  5. Step 5: Solve for x
    x = 110,193,955.28/9,746.08
  6. Step 6: Final answer
    x = 11,306.49

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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.