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Finding the Fourth Proportional to 9,701.16, 13,387.14 and 5,509.32

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Solution

The fourth proportional to 9,701.16, 13,387.14 and 5,509.32 is: 7,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.16 : 13,387.14 = 5,509.32 : x
  2. Step 2: Convert to fraction form
    9,701.16/13,387.14 = 5,509.32/x
  3. Step 3: Cross multiply
    9,701.16x = 13,387.14 × 5,509.32
  4. Step 4: Simplify right side
    9,701.16x = 73,754,038.14
  5. Step 5: Solve for x
    x = 73,754,038.14/9,701.16
  6. Step 6: Final answer
    x = 7,602.60

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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.