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Finding the Fourth Proportional to 7,020.16, 9,683.76 and 4,536.16

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Solution

The fourth proportional to 7,020.16, 9,683.76 and 4,536.16 is: 6,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.16 : 9,683.76 = 4,536.16 : x
  2. Step 2: Convert to fraction form
    7,020.16/9,683.76 = 4,536.16/x
  3. Step 3: Cross multiply
    7,020.16x = 9,683.76 × 4,536.16
  4. Step 4: Simplify right side
    7,020.16x = 43,927,084.76
  5. Step 5: Solve for x
    x = 43,927,084.76/7,020.16
  6. Step 6: Final answer
    x = 6,257.28

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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.