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Finding the Fourth Proportional to 6,547.59, 9,031.37 and 4,192.65

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Solution

The fourth proportional to 6,547.59, 9,031.37 and 4,192.65 is: 5,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.59 : 9,031.37 = 4,192.65 : x
  2. Step 2: Convert to fraction form
    6,547.59/9,031.37 = 4,192.65/x
  3. Step 3: Cross multiply
    6,547.59x = 9,031.37 × 4,192.65
  4. Step 4: Simplify right side
    6,547.59x = 37,865,352.47
  5. Step 5: Solve for x
    x = 37,865,352.47/6,547.59
  6. Step 6: Final answer
    x = 5,783.10

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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.