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Finding the Fourth Proportional to 7,014, 9,681 and 4,359.72

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Solution

The fourth proportional to 7,014, 9,681 and 4,359.72 is: 6,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 9,681 = 4,359.72 : x
  2. Step 2: Convert to fraction form
    7,014/9,681 = 4,359.72/x
  3. Step 3: Cross multiply
    7,014x = 9,681 × 4,359.72
  4. Step 4: Simplify right side
    7,014x = 42,206,449.32
  5. Step 5: Solve for x
    x = 42,206,449.32/7,014
  6. Step 6: Final answer
    x = 6,017.46

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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.