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Finding the Fourth Proportional to 6,477.67, 9,718.55 and 4,925.10

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Solution

The fourth proportional to 6,477.67, 9,718.55 and 4,925.10 is: 7,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.67 : 9,718.55 = 4,925.10 : x
  2. Step 2: Convert to fraction form
    6,477.67/9,718.55 = 4,925.10/x
  3. Step 3: Cross multiply
    6,477.67x = 9,718.55 × 4,925.10
  4. Step 4: Simplify right side
    6,477.67x = 47,864,860.89
  5. Step 5: Solve for x
    x = 47,864,860.89/6,477.67
  6. Step 6: Final answer
    x = 7,389.21

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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.