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Finding the Fourth Proportional to 9,700.58, 13,386.23 and 5,666.93

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Solution

The fourth proportional to 9,700.58, 13,386.23 and 5,666.93 is: 7,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.58 : 13,386.23 = 5,666.93 : x
  2. Step 2: Convert to fraction form
    9,700.58/13,386.23 = 5,666.93/x
  3. Step 3: Cross multiply
    9,700.58x = 13,386.23 × 5,666.93
  4. Step 4: Simplify right side
    9,700.58x = 75,858,733.11
  5. Step 5: Solve for x
    x = 75,858,733.11/9,700.58
  6. Step 6: Final answer
    x = 7,820.02

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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.