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Finding the Fourth Proportional to 9,833, 13,569.56 and 5,417

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Solution

The fourth proportional to 9,833, 13,569.56 and 5,417 is: 7,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833 : 13,569.56 = 5,417 : x
  2. Step 2: Convert to fraction form
    9,833/13,569.56 = 5,417/x
  3. Step 3: Cross multiply
    9,833x = 13,569.56 × 5,417
  4. Step 4: Simplify right side
    9,833x = 73,506,306.52
  5. Step 5: Solve for x
    x = 73,506,306.52/9,833
  6. Step 6: Final answer
    x = 7,475.47

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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.