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Finding the Fourth Proportional to 9,813.76, 14,718.48 and 2,888.80

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Solution

The fourth proportional to 9,813.76, 14,718.48 and 2,888.80 is: 4,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.76 : 14,718.48 = 2,888.80 : x
  2. Step 2: Convert to fraction form
    9,813.76/14,718.48 = 2,888.80/x
  3. Step 3: Cross multiply
    9,813.76x = 14,718.48 × 2,888.80
  4. Step 4: Simplify right side
    9,813.76x = 42,518,745.02
  5. Step 5: Solve for x
    x = 42,518,745.02/9,813.76
  6. Step 6: Final answer
    x = 4,332.56

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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.