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Finding the Fourth Proportional to 6,547.72, 9,029.68 and 5,053.28

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Solution

The fourth proportional to 6,547.72, 9,029.68 and 5,053.28 is: 6,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.72 : 9,029.68 = 5,053.28 : x
  2. Step 2: Convert to fraction form
    6,547.72/9,029.68 = 5,053.28/x
  3. Step 3: Cross multiply
    6,547.72x = 9,029.68 × 5,053.28
  4. Step 4: Simplify right side
    6,547.72x = 45,629,501.35
  5. Step 5: Solve for x
    x = 45,629,501.35/6,547.72
  6. Step 6: Final answer
    x = 6,968.76

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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.