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Finding the Fourth Proportional to 6,707.84, 9,255.47 and 4,055.40

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Solution

The fourth proportional to 6,707.84, 9,255.47 and 4,055.40 is: 5,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.84 : 9,255.47 = 4,055.40 : x
  2. Step 2: Convert to fraction form
    6,707.84/9,255.47 = 4,055.40/x
  3. Step 3: Cross multiply
    6,707.84x = 9,255.47 × 4,055.40
  4. Step 4: Simplify right side
    6,707.84x = 37,534,612.76
  5. Step 5: Solve for x
    x = 37,534,612.76/6,707.84
  6. Step 6: Final answer
    x = 5,595.64

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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.