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Finding the Fourth Proportional to 9,851.02, 13,593.05 and 5,602.30

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Solution

The fourth proportional to 9,851.02, 13,593.05 and 5,602.30 is: 7,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.02 : 13,593.05 = 5,602.30 : x
  2. Step 2: Convert to fraction form
    9,851.02/13,593.05 = 5,602.30/x
  3. Step 3: Cross multiply
    9,851.02x = 13,593.05 × 5,602.30
  4. Step 4: Simplify right side
    9,851.02x = 76,152,303.03
  5. Step 5: Solve for x
    x = 76,152,303.03/9,851.02
  6. Step 6: Final answer
    x = 7,730.40

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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.