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Finding the Fourth Proportional to 10,336, 15,560.26 and 9,417.46

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Solution

The fourth proportional to 10,336, 15,560.26 and 9,417.46 is: 14,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336 : 15,560.26 = 9,417.46 : x
  2. Step 2: Convert to fraction form
    10,336/15,560.26 = 9,417.46/x
  3. Step 3: Cross multiply
    10,336x = 15,560.26 × 9,417.46
  4. Step 4: Simplify right side
    10,336x = 146,538,126.14
  5. Step 5: Solve for x
    x = 146,538,126.14/10,336
  6. Step 6: Final answer
    x = 14,177.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.