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Finding the Fourth Proportional to 6,985.54, 9,639.74 and 4,001.64

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Solution

The fourth proportional to 6,985.54, 9,639.74 and 4,001.64 is: 5,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.54 : 9,639.74 = 4,001.64 : x
  2. Step 2: Convert to fraction form
    6,985.54/9,639.74 = 4,001.64/x
  3. Step 3: Cross multiply
    6,985.54x = 9,639.74 × 4,001.64
  4. Step 4: Simplify right side
    6,985.54x = 38,574,743.03
  5. Step 5: Solve for x
    x = 38,574,743.03/6,985.54
  6. Step 6: Final answer
    x = 5,522.08

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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.