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Finding the Fourth Proportional to 7,038.34, 9,712.51 and 3,851.03

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Solution

The fourth proportional to 7,038.34, 9,712.51 and 3,851.03 is: 5,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.34 : 9,712.51 = 3,851.03 : x
  2. Step 2: Convert to fraction form
    7,038.34/9,712.51 = 3,851.03/x
  3. Step 3: Cross multiply
    7,038.34x = 9,712.51 × 3,851.03
  4. Step 4: Simplify right side
    7,038.34x = 37,403,182.04
  5. Step 5: Solve for x
    x = 37,403,182.04/7,038.34
  6. Step 6: Final answer
    x = 5,314.21

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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.