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Finding the Fourth Proportional to 6,574.32, 9,070.36 and 4,090.16

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Solution

The fourth proportional to 6,574.32, 9,070.36 and 4,090.16 is: 5,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.32 : 9,070.36 = 4,090.16 : x
  2. Step 2: Convert to fraction form
    6,574.32/9,070.36 = 4,090.16/x
  3. Step 3: Cross multiply
    6,574.32x = 9,070.36 × 4,090.16
  4. Step 4: Simplify right side
    6,574.32x = 37,099,223.66
  5. Step 5: Solve for x
    x = 37,099,223.66/6,574.32
  6. Step 6: Final answer
    x = 5,643.05

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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.