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Finding the Fourth Proportional to 6,547.04, 9,035.52 and 4,030.80

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Solution

The fourth proportional to 6,547.04, 9,035.52 and 4,030.80 is: 5,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.04 : 9,035.52 = 4,030.80 : x
  2. Step 2: Convert to fraction form
    6,547.04/9,035.52 = 4,030.80/x
  3. Step 3: Cross multiply
    6,547.04x = 9,035.52 × 4,030.80
  4. Step 4: Simplify right side
    6,547.04x = 36,420,374.02
  5. Step 5: Solve for x
    x = 36,420,374.02/6,547.04
  6. Step 6: Final answer
    x = 5,562.88

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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.