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Finding the Fourth Proportional to 6,985.77, 9,644.35 and 4,631.10

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Solution

The fourth proportional to 6,985.77, 9,644.35 and 4,631.10 is: 6,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.77 : 9,644.35 = 4,631.10 : x
  2. Step 2: Convert to fraction form
    6,985.77/9,644.35 = 4,631.10/x
  3. Step 3: Cross multiply
    6,985.77x = 9,644.35 × 4,631.10
  4. Step 4: Simplify right side
    6,985.77x = 44,663,979.18
  5. Step 5: Solve for x
    x = 44,663,979.18/6,985.77
  6. Step 6: Final answer
    x = 6,393.56

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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.