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Finding the Fourth Proportional to 7,038.34, 9,712.89 and 3,851.57

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Solution

The fourth proportional to 7,038.34, 9,712.89 and 3,851.57 is: 5,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.34 : 9,712.89 = 3,851.57 : x
  2. Step 2: Convert to fraction form
    7,038.34/9,712.89 = 3,851.57/x
  3. Step 3: Cross multiply
    7,038.34x = 9,712.89 × 3,851.57
  4. Step 4: Simplify right side
    7,038.34x = 37,409,900.02
  5. Step 5: Solve for x
    x = 37,409,900.02/7,038.34
  6. Step 6: Final answer
    x = 5,315.16

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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.