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Finding the Fourth Proportional to 9,848.25, 13,590.99 and 5,656.50

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Solution

The fourth proportional to 9,848.25, 13,590.99 and 5,656.50 is: 7,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.25 : 13,590.99 = 5,656.50 : x
  2. Step 2: Convert to fraction form
    9,848.25/13,590.99 = 5,656.50/x
  3. Step 3: Cross multiply
    9,848.25x = 13,590.99 × 5,656.50
  4. Step 4: Simplify right side
    9,848.25x = 76,877,434.94
  5. Step 5: Solve for x
    x = 76,877,434.94/9,848.25
  6. Step 6: Final answer
    x = 7,806.20

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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.