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Finding the Fourth Proportional to 9,582.19, 13,221.43 and 5,602.53

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Solution

The fourth proportional to 9,582.19, 13,221.43 and 5,602.53 is: 7,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.19 : 13,221.43 = 5,602.53 : x
  2. Step 2: Convert to fraction form
    9,582.19/13,221.43 = 5,602.53/x
  3. Step 3: Cross multiply
    9,582.19x = 13,221.43 × 5,602.53
  4. Step 4: Simplify right side
    9,582.19x = 74,073,430.21
  5. Step 5: Solve for x
    x = 74,073,430.21/9,582.19
  6. Step 6: Final answer
    x = 7,730.32

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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.