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Finding the Fourth Proportional to 7,065.64, 9,742.98 and 4,412.08

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Solution

The fourth proportional to 7,065.64, 9,742.98 and 4,412.08 is: 6,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.64 : 9,742.98 = 4,412.08 : x
  2. Step 2: Convert to fraction form
    7,065.64/9,742.98 = 4,412.08/x
  3. Step 3: Cross multiply
    7,065.64x = 9,742.98 × 4,412.08
  4. Step 4: Simplify right side
    7,065.64x = 42,986,807.20
  5. Step 5: Solve for x
    x = 42,986,807.20/7,065.64
  6. Step 6: Final answer
    x = 6,083.92

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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.