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Finding the Fourth Proportional to 9,740.88, 14,617.80 and 4,547.16

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Solution

The fourth proportional to 9,740.88, 14,617.80 and 4,547.16 is: 6,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.88 : 14,617.80 = 4,547.16 : x
  2. Step 2: Convert to fraction form
    9,740.88/14,617.80 = 4,547.16/x
  3. Step 3: Cross multiply
    9,740.88x = 14,617.80 × 4,547.16
  4. Step 4: Simplify right side
    9,740.88x = 66,469,475.45
  5. Step 5: Solve for x
    x = 66,469,475.45/9,740.88
  6. Step 6: Final answer
    x = 6,823.76

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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.