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Finding the Fourth Proportional to 9,752.96, 13,458.48 and 5,504.70

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Solution

The fourth proportional to 9,752.96, 13,458.48 and 5,504.70 is: 7,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.96 : 13,458.48 = 5,504.70 : x
  2. Step 2: Convert to fraction form
    9,752.96/13,458.48 = 5,504.70/x
  3. Step 3: Cross multiply
    9,752.96x = 13,458.48 × 5,504.70
  4. Step 4: Simplify right side
    9,752.96x = 74,084,894.86
  5. Step 5: Solve for x
    x = 74,084,894.86/9,752.96
  6. Step 6: Final answer
    x = 7,596.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.