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Finding the Fourth Proportional to 9,582.56, 13,223.01 and 7,066.04

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Solution

The fourth proportional to 9,582.56, 13,223.01 and 7,066.04 is: 9,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.56 : 13,223.01 = 7,066.04 : x
  2. Step 2: Convert to fraction form
    9,582.56/13,223.01 = 7,066.04/x
  3. Step 3: Cross multiply
    9,582.56x = 13,223.01 × 7,066.04
  4. Step 4: Simplify right side
    9,582.56x = 93,434,251.47
  5. Step 5: Solve for x
    x = 93,434,251.47/9,582.56
  6. Step 6: Final answer
    x = 9,750.45

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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.