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Finding the Fourth Proportional to 9,897.01, 13,657.62 and 5,420.95

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Solution

The fourth proportional to 9,897.01, 13,657.62 and 5,420.95 is: 7,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.01 : 13,657.62 = 5,420.95 : x
  2. Step 2: Convert to fraction form
    9,897.01/13,657.62 = 5,420.95/x
  3. Step 3: Cross multiply
    9,897.01x = 13,657.62 × 5,420.95
  4. Step 4: Simplify right side
    9,897.01x = 74,037,275.14
  5. Step 5: Solve for x
    x = 74,037,275.14/9,897.01
  6. Step 6: Final answer
    x = 7,480.77

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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.