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Finding the Fourth Proportional to 9,701.59, 14,552.47 and 5,316.66

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Solution

The fourth proportional to 9,701.59, 14,552.47 and 5,316.66 is: 7,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.59 : 14,552.47 = 5,316.66 : x
  2. Step 2: Convert to fraction form
    9,701.59/14,552.47 = 5,316.66/x
  3. Step 3: Cross multiply
    9,701.59x = 14,552.47 × 5,316.66
  4. Step 4: Simplify right side
    9,701.59x = 77,370,535.15
  5. Step 5: Solve for x
    x = 77,370,535.15/9,701.59
  6. Step 6: Final answer
    x = 7,975.04

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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.