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Finding the Fourth Proportional to 6,741, 9,303.36 and 4,088.32

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Solution

The fourth proportional to 6,741, 9,303.36 and 4,088.32 is: 5,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741 : 9,303.36 = 4,088.32 : x
  2. Step 2: Convert to fraction form
    6,741/9,303.36 = 4,088.32/x
  3. Step 3: Cross multiply
    6,741x = 9,303.36 × 4,088.32
  4. Step 4: Simplify right side
    6,741x = 38,035,112.76
  5. Step 5: Solve for x
    x = 38,035,112.76/6,741
  6. Step 6: Final answer
    x = 5,642.35

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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.