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Finding the Fourth Proportional to 8,938.88, 13,408.96 and 2,365

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Solution

The fourth proportional to 8,938.88, 13,408.96 and 2,365 is: 3,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.88 : 13,408.96 = 2,365 : x
  2. Step 2: Convert to fraction form
    8,938.88/13,408.96 = 2,365/x
  3. Step 3: Cross multiply
    8,938.88x = 13,408.96 × 2,365
  4. Step 4: Simplify right side
    8,938.88x = 31,712,190.40
  5. Step 5: Solve for x
    x = 31,712,190.40/8,938.88
  6. Step 6: Final answer
    x = 3,547.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.