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Finding the Fourth Proportional to 7,031.02, 9,693.93 and 5,141.02

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Solution

The fourth proportional to 7,031.02, 9,693.93 and 5,141.02 is: 7,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.02 : 9,693.93 = 5,141.02 : x
  2. Step 2: Convert to fraction form
    7,031.02/9,693.93 = 5,141.02/x
  3. Step 3: Cross multiply
    7,031.02x = 9,693.93 × 5,141.02
  4. Step 4: Simplify right side
    7,031.02x = 49,836,688.01
  5. Step 5: Solve for x
    x = 49,836,688.01/7,031.02
  6. Step 6: Final answer
    x = 7,088.12

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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.