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Finding the Fourth Proportional to 9,907.77, 13,670.99 and 5,656.89

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Solution

The fourth proportional to 9,907.77, 13,670.99 and 5,656.89 is: 7,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.77 : 13,670.99 = 5,656.89 : x
  2. Step 2: Convert to fraction form
    9,907.77/13,670.99 = 5,656.89/x
  3. Step 3: Cross multiply
    9,907.77x = 13,670.99 × 5,656.89
  4. Step 4: Simplify right side
    9,907.77x = 77,335,258.34
  5. Step 5: Solve for x
    x = 77,335,258.34/9,907.77
  6. Step 6: Final answer
    x = 7,805.52

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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.