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Finding the Fourth Proportional to 9,701.55, 14,547.06 and 4,151.43

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Solution

The fourth proportional to 9,701.55, 14,547.06 and 4,151.43 is: 6,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.55 : 14,547.06 = 4,151.43 : x
  2. Step 2: Convert to fraction form
    9,701.55/14,547.06 = 4,151.43/x
  3. Step 3: Cross multiply
    9,701.55x = 14,547.06 × 4,151.43
  4. Step 4: Simplify right side
    9,701.55x = 60,391,101.30
  5. Step 5: Solve for x
    x = 60,391,101.30/9,701.55
  6. Step 6: Final answer
    x = 6,224.89

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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.