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Finding the Fourth Proportional to 6,569.37, 9,070.16 and 5,054.24

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Solution

The fourth proportional to 6,569.37, 9,070.16 and 5,054.24 is: 6,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.37 : 9,070.16 = 5,054.24 : x
  2. Step 2: Convert to fraction form
    6,569.37/9,070.16 = 5,054.24/x
  3. Step 3: Cross multiply
    6,569.37x = 9,070.16 × 5,054.24
  4. Step 4: Simplify right side
    6,569.37x = 45,842,694.86
  5. Step 5: Solve for x
    x = 45,842,694.86/6,569.37
  6. Step 6: Final answer
    x = 6,978.25

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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.