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Finding the Fourth Proportional to 6,547.42, 9,823.72 and 2,387.72

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Solution

The fourth proportional to 6,547.42, 9,823.72 and 2,387.72 is: 3,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.42 : 9,823.72 = 2,387.72 : x
  2. Step 2: Convert to fraction form
    6,547.42/9,823.72 = 2,387.72/x
  3. Step 3: Cross multiply
    6,547.42x = 9,823.72 × 2,387.72
  4. Step 4: Simplify right side
    6,547.42x = 23,456,292.72
  5. Step 5: Solve for x
    x = 23,456,292.72/6,547.42
  6. Step 6: Final answer
    x = 3,582.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.