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Finding the Fourth Proportional to 6,937.22, 9,570.47 and 4,547.77

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Solution

The fourth proportional to 6,937.22, 9,570.47 and 4,547.77 is: 6,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.22 : 9,570.47 = 4,547.77 : x
  2. Step 2: Convert to fraction form
    6,937.22/9,570.47 = 4,547.77/x
  3. Step 3: Cross multiply
    6,937.22x = 9,570.47 × 4,547.77
  4. Step 4: Simplify right side
    6,937.22x = 43,524,249.69
  5. Step 5: Solve for x
    x = 43,524,249.69/6,937.22
  6. Step 6: Final answer
    x = 6,274.02

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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.