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Finding the Fourth Proportional to 7,015.34, 9,681.71 and 4,032.21

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Solution

The fourth proportional to 7,015.34, 9,681.71 and 4,032.21 is: 5,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.34 : 9,681.71 = 4,032.21 : x
  2. Step 2: Convert to fraction form
    7,015.34/9,681.71 = 4,032.21/x
  3. Step 3: Cross multiply
    7,015.34x = 9,681.71 × 4,032.21
  4. Step 4: Simplify right side
    7,015.34x = 39,038,687.88
  5. Step 5: Solve for x
    x = 39,038,687.88/7,015.34
  6. Step 6: Final answer
    x = 5,564.76

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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.