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Finding the Fourth Proportional to 9,582.64, 13,220.96 and 5,804.60

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Solution

The fourth proportional to 9,582.64, 13,220.96 and 5,804.60 is: 8,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.64 : 13,220.96 = 5,804.60 : x
  2. Step 2: Convert to fraction form
    9,582.64/13,220.96 = 5,804.60/x
  3. Step 3: Cross multiply
    9,582.64x = 13,220.96 × 5,804.60
  4. Step 4: Simplify right side
    9,582.64x = 76,742,384.42
  5. Step 5: Solve for x
    x = 76,742,384.42/9,582.64
  6. Step 6: Final answer
    x = 8,008.48

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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.