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Finding the Fourth Proportional to 9,346, 12,897.48 and 5,154.28

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Solution

The fourth proportional to 9,346, 12,897.48 and 5,154.28 is: 7,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346 : 12,897.48 = 5,154.28 : x
  2. Step 2: Convert to fraction form
    9,346/12,897.48 = 5,154.28/x
  3. Step 3: Cross multiply
    9,346x = 12,897.48 × 5,154.28
  4. Step 4: Simplify right side
    9,346x = 66,477,223.21
  5. Step 5: Solve for x
    x = 66,477,223.21/9,346
  6. Step 6: Final answer
    x = 7,112.91

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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.