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Finding the Fourth Proportional to 7,069.59, 9,733.68 and 5,385.60

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Solution

The fourth proportional to 7,069.59, 9,733.68 and 5,385.60 is: 7,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.59 : 9,733.68 = 5,385.60 : x
  2. Step 2: Convert to fraction form
    7,069.59/9,733.68 = 5,385.60/x
  3. Step 3: Cross multiply
    7,069.59x = 9,733.68 × 5,385.60
  4. Step 4: Simplify right side
    7,069.59x = 52,421,707.01
  5. Step 5: Solve for x
    x = 52,421,707.01/7,069.59
  6. Step 6: Final answer
    x = 7,415.10

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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.