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Finding the Fourth Proportional to 7,025.64, 9,695.66 and 4,041.47

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Solution

The fourth proportional to 7,025.64, 9,695.66 and 4,041.47 is: 5,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.64 : 9,695.66 = 4,041.47 : x
  2. Step 2: Convert to fraction form
    7,025.64/9,695.66 = 4,041.47/x
  3. Step 3: Cross multiply
    7,025.64x = 9,695.66 × 4,041.47
  4. Step 4: Simplify right side
    7,025.64x = 39,184,719.02
  5. Step 5: Solve for x
    x = 39,184,719.02/7,025.64
  6. Step 6: Final answer
    x = 5,577.39

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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.