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Finding the Fourth Proportional to 9,710.48, 14,565.88 and 3,046.76

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Solution

The fourth proportional to 9,710.48, 14,565.88 and 3,046.76 is: 4,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.48 : 14,565.88 = 3,046.76 : x
  2. Step 2: Convert to fraction form
    9,710.48/14,565.88 = 3,046.76/x
  3. Step 3: Cross multiply
    9,710.48x = 14,565.88 × 3,046.76
  4. Step 4: Simplify right side
    9,710.48x = 44,378,790.94
  5. Step 5: Solve for x
    x = 44,378,790.94/9,710.48
  6. Step 6: Final answer
    x = 4,570.19

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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.