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Finding the Fourth Proportional to 9,907.08, 13,671.14 and 5,715

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Solution

The fourth proportional to 9,907.08, 13,671.14 and 5,715 is: 7,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.08 : 13,671.14 = 5,715 : x
  2. Step 2: Convert to fraction form
    9,907.08/13,671.14 = 5,715/x
  3. Step 3: Cross multiply
    9,907.08x = 13,671.14 × 5,715
  4. Step 4: Simplify right side
    9,907.08x = 78,130,565.10
  5. Step 5: Solve for x
    x = 78,130,565.10/9,907.08
  6. Step 6: Final answer
    x = 7,886.34

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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.