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Finding the Fourth Proportional to 9,278.04, 12,807.18 and 5,742.84

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Solution

The fourth proportional to 9,278.04, 12,807.18 and 5,742.84 is: 7,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.04 : 12,807.18 = 5,742.84 : x
  2. Step 2: Convert to fraction form
    9,278.04/12,807.18 = 5,742.84/x
  3. Step 3: Cross multiply
    9,278.04x = 12,807.18 × 5,742.84
  4. Step 4: Simplify right side
    9,278.04x = 73,549,585.59
  5. Step 5: Solve for x
    x = 73,549,585.59/9,278.04
  6. Step 6: Final answer
    x = 7,927.28

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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.