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Finding the Fourth Proportional to 9,734.77, 14,598.51 and 4,537

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Solution

The fourth proportional to 9,734.77, 14,598.51 and 4,537 is: 6,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.77 : 14,598.51 = 4,537 : x
  2. Step 2: Convert to fraction form
    9,734.77/14,598.51 = 4,537/x
  3. Step 3: Cross multiply
    9,734.77x = 14,598.51 × 4,537
  4. Step 4: Simplify right side
    9,734.77x = 66,233,439.87
  5. Step 5: Solve for x
    x = 66,233,439.87/9,734.77
  6. Step 6: Final answer
    x = 6,803.80

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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.