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Finding the Fourth Proportional to 7,047.48, 9,723.33 and 4,690.02

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Solution

The fourth proportional to 7,047.48, 9,723.33 and 4,690.02 is: 6,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.48 : 9,723.33 = 4,690.02 : x
  2. Step 2: Convert to fraction form
    7,047.48/9,723.33 = 4,690.02/x
  3. Step 3: Cross multiply
    7,047.48x = 9,723.33 × 4,690.02
  4. Step 4: Simplify right side
    7,047.48x = 45,602,612.17
  5. Step 5: Solve for x
    x = 45,602,612.17/7,047.48
  6. Step 6: Final answer
    x = 6,470.77

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Why These Related Problems?

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