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Finding the Fourth Proportional to 6,547.37, 9,036.30 and 3,715.44

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Solution

The fourth proportional to 6,547.37, 9,036.30 and 3,715.44 is: 5,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.37 : 9,036.30 = 3,715.44 : x
  2. Step 2: Convert to fraction form
    6,547.37/9,036.30 = 3,715.44/x
  3. Step 3: Cross multiply
    6,547.37x = 9,036.30 × 3,715.44
  4. Step 4: Simplify right side
    6,547.37x = 33,573,878.29
  5. Step 5: Solve for x
    x = 33,573,878.29/6,547.37
  6. Step 6: Final answer
    x = 5,127.84

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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.