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Finding the Fourth Proportional to 9,582.03, 13,223.19 and 5,602.35

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Solution

The fourth proportional to 9,582.03, 13,223.19 and 5,602.35 is: 7,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.03 : 13,223.19 = 5,602.35 : x
  2. Step 2: Convert to fraction form
    9,582.03/13,223.19 = 5,602.35/x
  3. Step 3: Cross multiply
    9,582.03x = 13,223.19 × 5,602.35
  4. Step 4: Simplify right side
    9,582.03x = 74,080,938.50
  5. Step 5: Solve for x
    x = 74,080,938.50/9,582.03
  6. Step 6: Final answer
    x = 7,731.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.