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Finding the Fourth Proportional to 7,037.69, 9,700.86 and 5,543.64

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Solution

The fourth proportional to 7,037.69, 9,700.86 and 5,543.64 is: 7,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.69 : 9,700.86 = 5,543.64 : x
  2. Step 2: Convert to fraction form
    7,037.69/9,700.86 = 5,543.64/x
  3. Step 3: Cross multiply
    7,037.69x = 9,700.86 × 5,543.64
  4. Step 4: Simplify right side
    7,037.69x = 53,778,096.32
  5. Step 5: Solve for x
    x = 53,778,096.32/7,037.69
  6. Step 6: Final answer
    x = 7,641.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.