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Finding the Fourth Proportional to 7,014.57, 9,681.76 and 4,032.13

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Solution

The fourth proportional to 7,014.57, 9,681.76 and 4,032.13 is: 5,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.57 : 9,681.76 = 4,032.13 : x
  2. Step 2: Convert to fraction form
    7,014.57/9,681.76 = 4,032.13/x
  3. Step 3: Cross multiply
    7,014.57x = 9,681.76 × 4,032.13
  4. Step 4: Simplify right side
    7,014.57x = 39,038,144.95
  5. Step 5: Solve for x
    x = 39,038,144.95/7,014.57
  6. Step 6: Final answer
    x = 5,565.30

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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.