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Finding the Fourth Proportional to 9,829.54, 13,565.03 and 5,580.51

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Solution

The fourth proportional to 9,829.54, 13,565.03 and 5,580.51 is: 7,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.54 : 13,565.03 = 5,580.51 : x
  2. Step 2: Convert to fraction form
    9,829.54/13,565.03 = 5,580.51/x
  3. Step 3: Cross multiply
    9,829.54x = 13,565.03 × 5,580.51
  4. Step 4: Simplify right side
    9,829.54x = 75,699,785.57
  5. Step 5: Solve for x
    x = 75,699,785.57/9,829.54
  6. Step 6: Final answer
    x = 7,701.25

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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.