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Finding the Fourth Proportional to 9,770.58, 14,547.15 and 9,632.55

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Solution

The fourth proportional to 9,770.58, 14,547.15 and 9,632.55 is: 14,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.58 : 14,547.15 = 9,632.55 : x
  2. Step 2: Convert to fraction form
    9,770.58/14,547.15 = 9,632.55/x
  3. Step 3: Cross multiply
    9,770.58x = 14,547.15 × 9,632.55
  4. Step 4: Simplify right side
    9,770.58x = 140,126,149.73
  5. Step 5: Solve for x
    x = 140,126,149.73/9,770.58
  6. Step 6: Final answer
    x = 14,341.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.