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Finding the Fourth Proportional to 7,015.23, 9,678.76 and 4,657.84

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Solution

The fourth proportional to 7,015.23, 9,678.76 and 4,657.84 is: 6,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.23 : 9,678.76 = 4,657.84 : x
  2. Step 2: Convert to fraction form
    7,015.23/9,678.76 = 4,657.84/x
  3. Step 3: Cross multiply
    7,015.23x = 9,678.76 × 4,657.84
  4. Step 4: Simplify right side
    7,015.23x = 45,082,079.64
  5. Step 5: Solve for x
    x = 45,082,079.64/7,015.23
  6. Step 6: Final answer
    x = 6,426.32

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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.