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Finding the Fourth Proportional to 9,135.07, 13,688.88 and 7,051.93

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Solution

The fourth proportional to 9,135.07, 13,688.88 and 7,051.93 is: 10,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.07 : 13,688.88 = 7,051.93 : x
  2. Step 2: Convert to fraction form
    9,135.07/13,688.88 = 7,051.93/x
  3. Step 3: Cross multiply
    9,135.07x = 13,688.88 × 7,051.93
  4. Step 4: Simplify right side
    9,135.07x = 96,533,023.54
  5. Step 5: Solve for x
    x = 96,533,023.54/9,135.07
  6. Step 6: Final answer
    x = 10,567.30

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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.