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Finding the Fourth Proportional to 9,582.40, 13,223.28 and 5,805.52

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Solution

The fourth proportional to 9,582.40, 13,223.28 and 5,805.52 is: 8,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.40 : 13,223.28 = 5,805.52 : x
  2. Step 2: Convert to fraction form
    9,582.40/13,223.28 = 5,805.52/x
  3. Step 3: Cross multiply
    9,582.40x = 13,223.28 × 5,805.52
  4. Step 4: Simplify right side
    9,582.40x = 76,768,016.51
  5. Step 5: Solve for x
    x = 76,768,016.51/9,582.40
  6. Step 6: Final answer
    x = 8,011.36

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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.