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Finding the Fourth Proportional to 6,532.02, 9,014.13 and 3,547.80

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Solution

The fourth proportional to 6,532.02, 9,014.13 and 3,547.80 is: 4,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.02 : 9,014.13 = 3,547.80 : x
  2. Step 2: Convert to fraction form
    6,532.02/9,014.13 = 3,547.80/x
  3. Step 3: Cross multiply
    6,532.02x = 9,014.13 × 3,547.80
  4. Step 4: Simplify right side
    6,532.02x = 31,980,330.41
  5. Step 5: Solve for x
    x = 31,980,330.41/6,532.02
  6. Step 6: Final answer
    x = 4,895.93

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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.